A cylinder has a radius of 10 and a height of 20. What is the surface area of the cylinder?
Answers
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION} }: [/tex]
We're provided : Radius of cylinder ( r ) = 10 units & Height of a cylinder ( h ) = 20 units. We know , The value of pi ( π ) = [tex] \frac{22}{7} [/tex]You need to know - The formula to find the surface area of cylinder = 2πr ( r + h ) where r , h & π are radius , height & pi respectively.[tex] \large{ \tt{❁ \: LET'S \: START : }}[/tex]
[tex] \boxed{ \large{ \tt{SURFACE\: AREA \: OF \: CYLINDER = 2\pi \: r \: (r + h)}}}[/tex]
- Plug the known values and simplify :
[tex] \large{ \tt{⇢2 \times \frac{22}{7} \times 10(10 + 20)}}[/tex]
[tex] \large{ \tt{⇢ \: 2 \times \frac{22}{7} \times 10 \times 30 }}[/tex]
[tex]⇢ \boxed{\large{ \bold{\tt{1885.71 \: \text {units}^{2} }}}}[/tex]
Hence , The total surface area of cylinder with radius 10 units & height 20 units is 1885.71 units² .[tex] \tt{✺ \: THE \: BEST \: REVENGE \: IS \: MASSIVE \: \bold{ \tt{SUCCESS} !\: ♪}}[/tex]
♕ Hope I helped! ♡
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[tex] \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}[/tex]
Question :-
A cylinder has a radius of 10 units and a height of 20 units. What is the surface area of the cylinder?Answer :-
The surface area of the cylinder is 1884 units².[tex] \rule{180pt}{3pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{10 \: units}}\put(9,17.5){\sf{20 \: units}}\end{picture}[/tex]
Solution :-
As per the provided information in the given question, we have been given that the radius of the cylinder is 10 units. The height of the cylinder is 20 units. We have been asked to find or calculate the surface area of the cylinder.
To calculate the surface area of the cylinder, we will use the formula below :-
[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh \:\:}}[/tex]
Substitute the given values into the above formula and solve for surface area:
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh[/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(10 \: units)^2 + (2)(3.14)(10 \: units)(20\:units) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(100 \: units^2) + (2)(3.14)(200\:units^2) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(314 \: units^2) + (2)(628 \: units^2) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 628 \: units^2 + 1256 \: units^2 [/tex]
[tex]\sf:\implies \bf{Surface \: Area_{(Cylinder)} = 1884 \: units^2}[/tex]
Therefore :-
The surface area of the cylinder is 1884 units².[tex]\\[/tex]
Learn more about the surface area of the cylinder at https://brainly.com/question/30914875
Have a great day! <33
Related Questions
describe fully the single transformation which takes shape A to shape B
Answers
Answer:
Clockwise rotation of 90 degress around the
point (4,3)
Answer:
Clockwise rotation of 90 degress around the point (4,3)
Step-by-step explanation:
Answer this for me please! thanks very much <3
Answers
the answer is b lil boy ggggggg
Write the equation of the circle:
center: (-9, 0), diameter: 10
Answers
Answer:
[tex](x+9)^2+y^{2}=25[/tex]
Step-by-step explanation:
The equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center of the circle and [tex]r[/tex] is the radius of the circle.
Given the circle's diameter is [tex]d=10[/tex], then its radius is [tex]r=\frac{10}{2}=5[/tex].
Therefore, the equation of the circle is [tex](x+9)^2+y^{2}=25[/tex]
f(x) = 3x – 5. Find the average rate of change of the function between x = 3 and x = 7.
Answers
Given:
The function is:
[tex]f(x)=3x-5[/tex]
To find:
The average rate of change of the function between x = 3 and x = 7.
Solution:
We have,
[tex]f(x)=3x-5[/tex]
For [tex]x=3[/tex],
[tex]f(3)=3(3)-5[/tex]
[tex]f(3)=9-5[/tex]
[tex]f(3)=4[/tex]
For [tex]x=7[/tex],
[tex]f(7)=3(7)-5[/tex]
[tex]f(7)=21-5[/tex]
[tex]f(7)=16[/tex]
The average rate of change of the function f(x) between x = a and x = b is:
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
The average rate of change of the function between x = 3 and x = 7 is:
[tex]m=\dfrac{f(7)-f(3)}{7-3}[/tex]
[tex]m=\dfrac{16-4}{4}[/tex]
[tex]m=\dfrac{12}{4}[/tex]
[tex]m=3[/tex]
Therefore, the average rate of change of the function between x = 3 and x = 7 is 3.
See image for question.
Answers
Answer:
#7(a)
Sample space:
1*1, 1*2, 1*3, 1*4,2*1, 2*2, 2*3, 2*4,3*1, 3*2, 3*3, 3*4,4*1, 4*2, 4*3, 4*4Total 16 outcomes
(b)
(i) P(even) = 12/16 = 3/4(ii) P(3x) = 7/16(iii) P(perfect square) = 4/16 = 1/4#8(a) Sample space:
1T, 1H, 2T, 2H, 3T, 3H, 4T, 4HTotal 8 outcomes
(b)
(i) 1T, 3T
P(T and odd) = 2/8 = 1/4(ii) 1H, 4H
P(H and square) = 2/8 = 1/4(iii) 1H, 2H, 3H, 4H
P(H) = 4/8 = 1/2Oy
E
A
was bought for Rs 22o and sold
tor is 250 Find the profit Amount
A pen
Answers
Given :
Oye bought a pen for Rs 220 .
He sell the pen for Rs 250 .
To Find :
The profit Oye earned on the pen.
Solution :
We know, profit can we calculated as :
P = Cost Price - Selling price
P = Rs 250 - 220
P = Rs 30
Therefore, the profit amount on the pen is Rs 30 .
what is the midpoint of this point (-4,2) and (8,0)?
Answers
Answer:
Mid - point = ( 2 , 1 )
Step-by-step explanation:
Let A = ( - 4 , 2 ) and B = ( 8 , 0 )
Let P = ( x , y ) be the mid-point of AB
Then,
[tex]P = (\frac{x_A + x_B}{2} , \frac{y_A + y_B}{2} ) \\\\P =(\frac{-4+8}{2} , \frac{2+0}{2}) \\\\P = ( \frac{4}{2} , \frac{2}{2} )\\\\P = ( 2 , 1)[/tex]
Answer:
(2,1)
Step-by-step explanation:
Hi there!
Midpoint: [tex](\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex] where two endpoints of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-4,2) and (8,0)
[tex](\frac{-4+8}{2} , \frac{2+0}{2} )\\(\frac{4}{2} , \frac{2}{2} )\\(2, 1)[/tex]
Therefore, the midpoint of the line segment is (2,1).
I hope this helps!
Determine whether the sequence is arithmetic or geometric. Sequence 1: –10, 20, – 40, 80, ... Sequence 2: 15, – 5, – 25, – 45, ... Which of the following statements are true regarding Sequence 1 and Sequence 2.
Answers
Answer:
geometric
arithmetic
Step-by-step explanation:
there are no statements to check. you did not copy them in.
but I can solve the first part of the question.
sequence 1 :
-10, 20, -40, 80, -160, 320, -640, ...
I extended the sequence by a few more terms.
but it is clear that each new term is the previous term multiplied by -2.
since the sequence is built by multiplication, it is geometric.
sequence 2:
15, -5, -25, -45, -65, -85, ...
so, it is clear that each new term is the previous term subtracted by -20.
since the sequence is built by adding or subtracting, it is arithmetic.
prove the following [tex]\bold{algebraically}[/tex]:
[tex] \displaystyle \frac{ {29}^{3} + {29}^{2} + 30 }{ {29}^{4} - 1} = \frac{1}{28} [/tex]
Answers
Answer:
see below
Step-by-step explanation:
we are given
[tex] \displaystyle \frac{ {29}^{3} + {29}^{2} + 30 }{ {29}^{4} - 1} = \frac{1}{28}[/tex]
we want to prove it algebraically
to do so rewrite 30:
[tex] \displaystyle \frac{ {29}^{3} + {29}^{2} + 29 + 1}{ {29}^{4} - 1} \stackrel{ ? }{= }\frac{1}{28}[/tex]
let 29 be a thus substitute:
[tex] \displaystyle \frac{ {a}^{3} + {a}^{2} + a + 1}{ {a}^{4} - 1} \stackrel{ ? }{= }\frac{1}{28}[/tex]
factor the denominator:
[tex] \rm\displaystyle \frac{ {a}^{3} + {a}^{2} + a + 1}{ ({a}^{2} + 1) (a- 1)(a + 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]
Factor out a²:
[tex] \rm\displaystyle \frac{ {a}^{2} ({a}^{} + 1)+ a + 1}{ ({a}^{2} + 1) (a- 1)(a + 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]
factor out 1:
[tex] \rm\displaystyle \frac{ {a}^{2} ({a}^{} + 1)+1( a + 1)}{ ({a}^{2} + 1) (a- 1)(a + 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]
group:
[tex] \rm\displaystyle \frac{ ({a}^{2} +1)( a + 1)}{ ({a}^{2} + 1) (a + 1)(a - 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]
reduce fraction:
[tex] \rm\displaystyle \frac{ \cancel{({a}^{2} +1)( a + 1)}}{ \cancel{({a}^{2} + 1) (a + 1)}(a - 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]
[tex] \displaystyle \frac{1}{a - 1} \stackrel {?}{ = } \frac{1}{28} [/tex]
substitute back:
[tex] \displaystyle \frac{1}{29 - 1} \stackrel {?}{ = } \frac{1}{28} [/tex]
simplify substraction:
[tex] \displaystyle \frac{1}{28} \stackrel { \checkmark}{ = } \frac{1}{28} [/tex]
hence Proven
Answer:
Step-by-step explanation:
Identity to use:
1+N+N^2+N^3 = (N^4-1)/(N-1)
Let N=29
1+29+29^2+29^3 = (29^4-1) / (29-1)
30+29^2+29^3 = (29^4-1) / 28
Transpose and re-arrange
(29^3+29^2+30) / (29^4-1) = 1 / 28 QED
hey can someone help me? its due in 3 hours and my grades reay depend on it :((
Answers
Answer:
B
A
B
C
B
A
C
D
C
C
D
C
C
D
B
A
#42 urgent please be certain
Answers
Answer:
Its D
Step-by-step explanation:
2. A bag contains 5 red marbles, 3 blue marbles, 6 white marbles, and 2 green marbles.
A. You choose one marble at random. Find the probability that you will choose a
white marble.
B. You choose one marble at random. Find the probability that you do not choose a red
marble.
I
C. You choose one marble at random, put the marble aside, then choose a second
marble at random. What is the probability that both marbles are blue?
D. You choose one marble at random, put the marble back in the bag, then choose a
second marble at random. What is the probability that you choose a red marble
and then a green marble?
Answers
Answer:
Step-by-step explanation:
5 red
3 blue
6 white
2 green
total 16 marbles.
Note: P(E) = probability of event E happening
P(~E) = probability of event E NOT happening.
We usually leave probabilities in fractions whenever possible because they will not be subject to round-off errors.
A. choose one marble at random.
P(W) = 6 white / 16 total = 3/8
B. choose one marble at random.
P(~R) = (16-5)/16 = 11/16
C. choose one marble at random, then a second one without replacement,
there will be 3 blue out of 16 at the beginning, then if successful, there will be 2 blue out of 15.
P(BB) = (3/16)*(2/15) = 1 / 40
D. choose two with replacement
5 red out of 16 for first draw, still 5 red out of 16 for second draw.
P(RR) = (5/16)^2 = 25/256
A coach divided 13 liters of water into water bottles so that each bottle contained 0.65 liter of water how many water bottles are there
Answers
Answer:
there would be 20 bottles.
Step-by-step explanation:
13 divided by .65 = 20
A city held a bike parade. 52 bikers rode in the parade, and 8 of them rode a fixed-gear bicycle.
What is the probability that a randomly chosen bike in the parade was a fixed-gear bicycle?
Write your answer as a fraction or whole number.
P(fixed-gear bicycle) =
Answers
Answer:
[tex]\frac{2}{13}[/tex]
Step-by-step explanation:
Find the probability by dividing the number of fixed gear bikers by the total number of bikers in the parade.
Since there are 8 fixed gear bikers and 52 bikers in total, this will be found by dividing 8 by 52.
So, the probability as a fraction is [tex]\frac{8}{52}[/tex]
This can be simplified by dividing both the numerator and denominator by 4:
= [tex]\frac{2}{13}[/tex]
So, the probability is [tex]\frac{2}{13}[/tex]
joseph cao bao nhiêu, nếu anh ấy cao 72 inch? Nếu anh ta là bao nhiêu feet, thì anh ta là bao nhiêu thước? nếu anh ta là bao nhiêu thước, anh ta là bao nhiêu cm?
Answers
Answer:
im not sure
Step-by-step explanation:
Answer:
joseph là 6 feet hoặc 2 thước Anh hoặc 182 cm.
3. If 2x +9 32, then x could be
11.5?
Answers
2x= 32-9
2x= 23
x= 23:2
x= 11.5
Answer:
Yes
Step-by-step explanation:
We can see step by step how to solve for x, and get 11.5:
2x+9=32
Subtrract the 9 from both sides. You should always try to get the number on one side, and the variable on the other:
2x+9-9=32-9
=
2x=23
In the end, once the number values are on one side, and the variable value on the other, you want you varaible to be 1.
When I mean 1, I mean you want 1x, or just x.
Here we see 2x=23, meaning we need to divide both sides by 2, to get 1x:
2x/2=23/2
=
x=11.5
So x equals 11.5, and you were correct.
Hope this helps!
help me with these please
Answers
A snow cone is a tasty treat with flavored ice and a spherical bubble gum ball at the bottom, as shown below:
Snow cone with spherical bubble gum ball at the bottom
The radius of the cone is 1.25 inches, and its height is 2.75 inches. If the diameter of the bubble gum ball is 0.5 inches, what is the closest approximation of the volume of the cone that can be filled with flavored ice? (4 points)
Group of answer choices
4.43 in3
0.07 in3
13.50 in3
4.50 in3
Answers
==========================================================
Explanation:
The volume of the cone is...
V = (1/3)*pi*r^2*h
V = (1/3)*3.14*(1.25)^2*2.75
V = 4.49739583333333
which is approximate.
-----------
The volume of the sphere is
V = (4/3)*pi*r^3
V = (4/3)*3.14*(0.25)^3 ... note the radius is half the diameter
V = 0.06541666666667
which is approximate as well
-----------
Subtract the two volumes to finish things up
4.49739583333333-0.06541666666667 = 4.43197916666667
The result 4.43197916666667 then rounds to 4.43
This is the approximate amount of empty space in the cone that isn't taken up by the spherical gum. The units are in "cubic inches" or "in^3" for short.
Please help me it’s important for me
Answers
Answer:
Step-by-step explanation:
8
Consider this composite figure.
Shape B is a cone and shape B is a cylinder.
Examine the composite figure to determine what two three-dimensional geometric shapes make up the figure.
What shape does A represent?
What shape does B represent?
Answers
Answer:
Shape A: cone
Shape B: cylinder
Shape C: cone
the sum of two cones and a cylinder
Step-by-step explanation:
On edge- 2021 :)
Answer:
Step-by-steShape A: cone
Shape B: cylinder
Shape C: conep explanation:
After filling the first sandbox to a height of 6 inches, the groundskeeper had 24 cubic feet of sand left
over. She used all the leftover sand to fill the second sandbox.
. The second sandbox has a base in the shape of a rectangle.
The base of the second sandbox has a perimeter that is less than 35 feet.
The groundskeeper filled the second sandbox to a height of 6 inches.
What could be the length and width, in feet, of the second sandbox?
Answers
Answer:
Length could be 14.05 ft and width 3.41 ft.
Step-by-step explanation:
The volume of the sand in the second box = 24 ft^3.
Let its base be x feet wide and y feet long.
Then 2(x + y) < 35.
The volume of sand = 0.5xy ft^3.
So 0.5xy = 24
xy = 48.
x = 48/y
Substituting ih the above inequality:
2(48/y + y) < 35
96/y + 2y < 35
2y^2 - 35y + 96 < 0
Solving 2y^2 - 35y + 96 = 0 gives y = 3.41, 14.09.
So the length could be 14.05 ft and the width 48/14 = 3.41 ft.
The length could be 14.05 ft and the width will be 3.41 ft.
What is volume?The volume of the sand in the second box = 24 ft³.
Let its base be x feet wide and y feet long.
Then 2(x + y) < 35.
The volume of sand = 0.5xy ft^3.
So 0.5xy = 24
xy = 48.
x = 48/y
Substituting the above inequality:
2(48/y + y) < 35
96/y + 2y < 35
2y² - 35y + 96 < 0
Solving 2y² - 35y + 96 = 0 gives y = 3.41, 14.09.
So the length could be 14.05 ft and the width 48/14 = 3.41 ft.
To know more about volume follow
https://brainly.com/question/15607324
#SPJ2
Given that√7=2.65 and √70=8.37,find the value of
(a)√0.07
(b)√0.0007
(c)√0.7
(d)√0.007
(e)√0.000007
(f)√0.00007
Answers
Answer:
A) 0.265
B) 0.0265
C) 0.837
D) 0.0837
E) 0.00265
F) 0.00837
Step-by-step explanation:
We are given;
√7 = 2.65 and √70 = 8.37
A) √0.07 can be rewritten as;
√(7 × 1/100)
Let's deal with the digits in the bracket.
Square root of 100 is 10. Thus;
√(7 × 1/100) = (1/10)√7 = (1/10) × 2.65 = 0.265
B) √0.0007
Rewrite to get;
√(7 × 1/10000)
Square root of 1/10000 is 1/100
Thus;
√(7 × 1/10000) = (1/100)√7 = (1/100) × 2.65 = 0.0265
C) √0.7
Like above;
√0.7 = √(70 × (1/100))
>> (1/10)√70 = (1/10) × 8.37 = 0.837
D) √0.007
Like above;
Rewrite to get;
√(70 × 1/10000)
Square root of 1/10000 is 1/100
Thus;
√(70 × 1/10000) = (1/100)√70 = (1/100) × 8.37 = 0.0837
E) √0.000007
Rewritten to;
√(7 × (1/1000000))
√(1/1000000) = 1/1000
Thus; √(7 × (1/1000000)) = 1/1000 × √7 = 1/1000 × 2.65 = 0.00265
F)√0.00007
Rewritten to;
√(70 × (1/1000000))
√(1/1000000) = 1/1000
Thus; √(70 × (1/1000000)) = 1/1000 × √70 = 1/1000 × 8.37 = 0.00837
Which graph is likely to have a leading coefficient value of -1/8?
Answers
Answer:
The second graph: only this one opens downward.
Simplify. pls pls help
-2 √35
-24 √35
24 √35
Answers
Given the table below, determine the initial value/y intercept. PIC IS ABOVE! ANSWER!
Answers
Answer:
The initial value is the y value when x is zero. Look at the table to help you determine the y value when x is zero and that is your answer.
Step-by-step explanation:
If x = 47, what is the value of the expression x + 24?
Answers
Answer:
71.
Step-by-step explanation:
If x = 47, you would add 24 to 47, which equals 71.
Solve for w -8.5 = 3.46
Answers
Done done done, W=3.46+8.5
W=11.96!
Hit the heart if it was helpful!
Answer:
11.96
Step-by-step explanation:
In the diagram of △EHG below, JF ∥HG, EJ=12, JH=24, and EF=6. What is the length of EG?
Answers
FG = JHxEF/EJ = 12 + 6 = 18
Find the volume of this cone.
Use 3 for pi
Answers
Answer:
81 cm^3
Step-by-step explanation:
We know that we have to use 3 for pi.
Formula given for formula of cone is:
πr^2h ÷3
Use formula with the given pi and dimensions:
3(3^2)(9) ÷ 3
= 3(9)(9) ÷ 3
= 243 ÷ 3
= 81
Volume is measured in cubic centimeters.
FINAL ANSWER:
81 cm^3
Hope this helps!
In ΔQRS, the measure of ∠S=90°, QS = 12, RQ = 13, and SR = 5. What is the value of the tangent of ∠R to the nearest hundredth?
Answers
Answer:
2.40
Step-by-step explanation:
From the triangle QRS
RQ is the hypotenuse 13
QS is the opposite = 12
SR is the adjacent = 5
According to SOH CAH TOA
tan <R = opp/adj
Tan <R = qs/sr
Tan <R = 12/5
Tan <R = 2.40