Each base in this right prism-like figure is a quarter of a circle with a radius of 2m.
What is the volume of the figure?
Give an exact answer in terms of pi.

Each Base In This Right Prism-like Figure Is A Quarter Of A Circle With A Radius Of 2m.What Is The Volume

Answers

Answer 1

Answer:

[tex]volume = 10\pi m^3[/tex]

Step-by-step explanation:

Volume of a prism = Base Area x height

Base is a quarter of a circle.

              [tex]Area \ of \ circle = \pi r^2\\\\r = 2m\\\\Area \ of \ quarter \ of \ a \ circle = \frac{1}{4} \pi r^2 = \frac{1}{4}\pi \times 4 = \pi m^2[/tex]

Base Area = π square meters.

Therefore ,

          [tex]Volume = Base Area \times height = \pi \times 10 = 10\pi m^3[/tex]


Related Questions

If your good at math please help me with this question

Answers

Answer:

answer: 361.88

Hope that helps!

5.3x - 9 + 7.6x simplify pls

Answers

Answer:

12.9x-9

Step-by-step explanation:

add 5.3x and 7.6x

Answer:

12.9x-9

Step-by-step explanation:

First you have to combine the like terms which are 5.3x + 7.6x= 12.9x. Then you just rewrite the equation 12.9x-9. You just leave the 9 by it self because there's no other like terms.

More examples -

5.3x+−9+7.6x

Combine Like Terms:

=5.3x+−9+7.6x

=(5.3x+7.6x)+(−9)

=12.9x+−

Which table shows the same relationship as y = -x + 3x?

Answers

i think you need to include table. but y=2x show the same relationship i think

Write an equation for A line with a slope of 2/3 and passing through (6,-8).

Answers

write an equation for A line with a slope of 2/3

Answer:

y+2/3x-8

Step-by-step explanation

Y=mx+b is your equation and m=slope and b=equals y intercept

please let me know if I did it good and lmk if I did anything wrong ( finding area )

Answers

well done you did amazing I will congratulate you with a slice of pizza

PLEASE HELP!! NO LINKS!! GIVING 12 POINTS AWAY!!

Answers

hey good luck on ur assignment:)

Answer:

1.105°

2.35°

3.35,°

4.50°

Step-by-step explanation:

ito po yung answer ko sa assignment you sa Maka tulong

Can someone help me with this?

Answers

Answer:

Step-by-step explanation:

We first need to figure out how much money Jackie has since Pilar has the same amount of money, but in different coins. Jackie has 24 dimes and 13 quarters, so the amount of money is $2.40 + $3.25 = $5.65; therefore, Pilar has $5.65 also. In order to determine how many nickels and quarters Pilar has, we have to have a system of equations. It's up to us to write the equations we need to solve this. The first equation has to do with the NUMBER of coins Pilar has, the second has to do with the VALUE of each coin. We know that Pilar has only nickels and quarters and that she has a total of 53 coins. So the NUMBER equation is

n + q = 53

The VALUE equation relates how much each coin is worth to the total amount of money it equals:

.05n + .25q = 5.65.

Go back to the first equation and solve it for either n or q. I solved it for n:

n = 53 - q

Plug this into the second equation in place of n now to get:

.05(53 - q) + .25q = 5.65 and

2.65- .05q + .25q = 5.65 and

.20q = 3 so

q = 15. This means that there are 15 quarters. If there are 15 quarters, then there are

n + 15 = 53 nickels and

n = 38 nickels.

Please help me!
describe the transformation for f(x)=[tex]\sqrt[3]{x}[/tex] to g(x)=[tex]-2\sqrt[3]{x} +4[/tex]

Answers

Step-by-step explanation:

transformation : f(x) --> g(x) = -2x + 4

A cyclist travels 5.8 km in 30 minutes.
What is his average speed in km/h?

Answers

Answer:

11.6km/h

Step-by-step explanation:

multiply 30 min by 2 to get to an hour

multiply 5.8 by 2 to get to km per hour

Answer:

average speed was 11.6 Kilometers per hour

Step-by-step explanation:

hope that helped

PLEASE HELP ME!!! THIS IS 8TH GRADE ALGEBRA!!

Answers

Answer:

Youre fυcked


Helppppp fasttttt!!

Answers

2(-n - 3) - 7(5 + 2n) Equation
-2n - 6 - 7(5 + 2n) Distribute Left Side
-2n - 6 - 35 - 14n Distribute Right Side
-16n - 41 Combine Like Terms
Answer: B

Can someone plz help me find the area for this composite figure ??? Plz

Answers

[tex]S_\square = 8 * 8 = 64\\S_\triangle = \frac{ah}{2} = \frac{8*3}{2} = 4 * 3 = 12\\S = S_\square - S_\triangle = 64 - 12 = 52[/tex]

Answer: 52.

x-4 in word form
Please help it’s due today!

Answers

Answer:

x  minus four

Step-by-step explanation:

earth's radius is approximately 4000 mi. about two thirds of the Earth's surface is covered by water. estimate the land area on earth

Answers

9514 1404 393

Answer:

  67 million square miles

Step-by-step explanation:

The area of a sphere is given by ...

  A = 4πr²

So the area of the Earth is approximately ...

  A = 4π(4000 mi)² ≈ 2.01×10^8 mi²

The area of the 1/3 that is not covered by water is approximately ...

  (2.01×10^2 mi²)/3 = 6.7×10^7 mi²

The land area is estimated to be about 67 million square miles.

There was ¼ of a carton of ice cream for Michelle and her two friends to share. If they split the ice cream evenly among them, how much of the original ice cream did each of the 3 kids get?

Answers

Answer:

1/12

Step-by-step explanation:

1/4 *1/3=1/12

i'll mark as brainliest if it lets me;-;
please answer B. & C. with solution:)​

Answers

Answer:

B. AC = 22, BC = 22, AB = 44

C. AC = 30, BC = 30, AB = 60

Step-by-step explanation:

B.

[tex] radius \: \overline {OR} \perp chord \: \overline {AB} [/tex] at C. (given)

[tex] \therefore AC = BC[/tex] (perpendicular dropped from the center of the circle to the chord bisects the chord)

[tex] \therefore 2x - 6 = x + 8[/tex]

[tex] \therefore 2x - x= 6 + 8[/tex]

[tex] \therefore x= 14[/tex]

[tex] AC = 2x-6=2(14)-6=28-6= 22[/tex]

[tex] BC= x + 8=14 + 8= 22[/tex]

AB = AC + BC = 22 + 22 = 44

C.

[tex] radius \: \overline {OR} \perp chord \: \overline {AB} [/tex] at C. (given)

[tex] \therefore BC = AC[/tex] (perpendicular dropped from the center of the circle to the chord bisects the chord)

[tex] \therefore 7x-5=4x+10 [/tex]

[tex] \therefore 7x - 4x= 5 + 10[/tex]

[tex] \therefore 3x= 15[/tex]

[tex] \therefore x= \frac{15}{3}[/tex]

[tex] \therefore x= 5[/tex]

[tex] AC = 4x+10=4(5)+10=20+10= 30[/tex]

[tex] BC= 7x - 5=7(5)-5=35-5= 30[/tex]

AB = AC + BC = 30 + 30 = 60

Select all expressions that are equivalent to
2x + 5(–4x + 10) - (x + 4).
Show your work in the sketch pad that supports your
answer.
(Select all that apply.)
27x + 54
-19x + 46
2x - 30x + 50 - x - 4
2x + 30x + 50 - x +4

Answers

2x + 5(–4x + 10) - (x + 4).

-4+10=14

x+4=5-9

2x+5=7x

7+9=18

18-14=4

4 is your answer

Simplify: [tex]\frac{\left(x^{\frac{5}{2}}\cdot 6y^2\cdot \sqrt[3]{y^4}\right)}{12x^{\frac{1}{2}}\cdot \sqrt[4]{x^3}}[/tex]

Answers

Answer:

[tex]\frac{1}{2} x^{\frac{5}{4} }y^{\frac{10}{3}}[/tex]

Step-by-step explanation:

[tex]\frac{x^{\frac{5}{2} }*6y^2*\sqrt[3]{y^4} }{12x^{\frac{1}{2}}*\sqrt[4]{x^3} } =[/tex] [tex]\frac{x^{ \frac{5}{2} }6y^2y^{ \frac{4}{3} } }{12x^{ \frac{1}{2} }x^{ \frac{3}{4} }} =[/tex][tex]\frac{1}{2} x^{\frac{5}{2} - \frac{1}{2} - \frac{3}{4}}y^{2+\frac{4}{3}}=[/tex][tex]\frac{1}{2} x^{\frac{5}{4} }y^{\frac{10}{3}}[/tex]

Can someone plz help me with this one problem plz!!!

Answers

Answer:

25 square inches

Step-by-step explanation:

Given,

Parallel sides of the trapezium = 3in, 7in

Height of the trapezium = 5in

Therefore,

Area of the trapezium

[tex] = \frac{1}{2} \times sum \: of \: parallel \: sides \times height[/tex]

[tex] = \frac{1}{2} \times (7 + 3)in \times 5in[/tex]

[tex] = \frac{1}{2} \times 10in \times 5in[/tex]

= 5in × 5in

[tex] = {25in}^{2} [/tex]

Hence,

Area if the trapezium is 25 square inches (Ans)

make b the subject of the formula a=\sqrt(b+6)

Answers

Making 'b' the subject of formula gives b = a² - 6

How to determine the subject of formula

It is important to note that the subject of formula is described as a variable that is made up to stand alone in an equation.

The subject of formula is the variable that is worked out on on side of the equation sign.

From the information given, we have the equation;

a = [tex]\sqrt{(b + 6)}[/tex]

To make 'b' the subject of formula, we take the following steps;

Find the square of both sides, we get;

a² = [tex](\sqrt{(b + 6)} ^2[/tex]

Cancel out the square, we get;

b + 6 = a²

collect the other terms on one end of the equation, we have;

b = a² - 6

Hence, the equation is b = a² - 6

Learn more about subject of formula here:

https://brainly.com/question/10643782

#SPJ1

John is trying to convert an area from meters squared to millimeters squared. He multiplied the area he had by
1,000 and got the wrong answer. What should he have multiplied the original area by?

A) 100

B) 1,000

C) 1,000,000

D) 10​

Answers

I think it’s either 10 or 100 because a millimeter is 1 and how it’s not in the option it’s most likely one of those two you can decide on this part but I’m just tryin to help!

Answer:

1,000,000

Hope this helps <3

Consecutive even integer word problem help please!!​​

Answers

Answer:

Width: 16 in.,  Length:  18 in.

Step-by-step explanation:

Consecute even/odd problems seem a bit weird at first.

You choose a variable to represent the first integer, say  n .  Assume it's even (no symbolic way to tell!).  If  n  is even, then the next consecutive integer is  n + 2.  You add two because you want to skip one integer.

Width:  n

Length:  n + 2

Area is length multiplied by width, so

[tex]n(n+2)=224\\\\n^2+2n=224\\\\n^2+2n-224=0\\\\(n+14)(n-16)=0\\\\n+14=0 \text{ or } n-16=0\\\\n=-14 \text{ or }n=16[/tex]

The negative solution makes no sense, so use n = 16

Width: 16

Length: 18

А map
of a square auditorium shows the actual room has an area of 3600 feet?. The scale drawing has an
area of 9 feet? What is the scale of the drawing?
А
1 in = 400 feet
B
1 in = 20 feet
3 in = 400 feet
D
3 in = 20 feet

Answers

I think the answer is b I am not sure tho

What exactly does it mean when a question says "consecutive integers"?

Answers

Answer:

Consecutive integers are those numbers that follow each other. They follow in a sequence or in order. For example, a set of natural numbers are consecutive integers.

hope this helps

have a good day :)

Step-by-step explanation:


Solve and graph.
k - 13 > -51

Answers

Answer:

The answer will be A k>-38

can someone help me... thanks ❤️

Answers

Answer:

13m

Step-by-step explanation:

 

The bear was chosen _____ more times than the elephant as the favorite animal.



11
10
9
8

Answers

Answer: 9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

22 - 13 = 9

The circumference of a circle is 17 π π in. Find its diameter, in inches

Answers

Answer:

r = 8.5 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

17 pi = 2 * pi *r

Divide each side by 2 pi

17 pi / ( 2pi) = 2 * pi r/ ( 2 pi)

17/2 = r

8.5 = r

The answer is 8.5 inches.

If a rectangular pyramid has the same height and base as a rectangular prism, which statement explains how the volume of the pyramid can be determined?\

1) The volume of the pyramid is one-half the volume of the prism.
2)The volume of the pyramid is one-third the volume of the prism.
3)The volume of the pyramid is one-fourth the volume of the prism.
4)The volume of the pyramid is the same as the volume of the prism.

Answers

Answer:

The correct answer is "The volume of the pyramid is one-third the volume of the prism".

Step-by-step explanation:

The formula for the volume of a rectangular prism is [tex]lwh[/tex], where [tex]l[/tex] represents length, [tex]w[/tex] represents width, and [tex]h[/tex] represents height. The formula for the volume of a rectangular pyramid is [tex]\frac{lwh}{3}[/tex], where [tex]l[/tex] represents length, [tex]w[/tex] represents width, and [tex]h[/tex] represents height. Since the base and height of the rectangular pyramid is the same as the rectangular prism, that means the volume of the pyramid is one-third of the volume of the rectangular prism.

The figure below shows BT with point B at the intersection
of SW and RU
350
B 50°
W3
What is the measure of ZSBT?

Answers

Answer:

95

Step-by-step explanation:

The sum of any straight angle is 180 (Therom)

180 - (50 +35) =95

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