The height h and the base area B of a cylinder are given. Find the volume of the cylinder. Write your answer in terms of it. h=2 units B=25pi symbol square units​

Answers

Answer 1

here's the solution,

[tex] \boxed{\small{volume = area \: \: of \: base \: \: \times height}}[/tex]

so,

=》

[tex]v = 25\pi \times 2[/tex]

=》

[tex]v = 50\pi[/tex]

if you solve for π then the value will be :

157

but in terms of π the value will be :

50 π
Answer 2

The volume of the cylinder is 157 unit³.

What is volume?

The amount of space occupied by a three-dimensional figure as measured in cubic units.

Given: B= 25π, h= 2 units

Base area= 25π

πr²=  25π

r²=25

r=±5 units

Now, Volume of cylinder= πr²h

                                         = 3.14* 5* 5* 2

                                         = 157 unit³

Hence, the volume of cylinder is  157 unit³.

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Related Questions

Which of the following trigonometric ratios are correct?

Answers

Hi there! In this problem, you should have the knowledge of three basic Trigonometric Ratio.

sinA = opposite/hypotenusecosA = adjacent/hypotenusetanA = opposite/adjacent

Now that we know three basic ratio. Let's check each choices!

sin50° = d/c

This choice is wrong because we focus on the 50° angle. When we focus on 50°, sin50° should be d/x and not d/c.

sin50° = c/x

This choice is also wrong because in ratio, it's cos50° that adjacent/hypotenuse.

tan50° = d/c

This choice is correct! As ratio states, tanA = opposite/adjacent.

tan50° = x/c

This choice is wrong. x/c is a reciprocal of cosine which is 1/cos. We call the reciprocal of cosine as secant or sec in short.

cos50° = x/d

This choice is wrong as x/d is a reciprocal of sine which is 1/sin. We call the reciprocal of sine as cosecant or cosec/csc in short.

cos50° = c/x

This choice is right by the ratio. Nothing really much to explain since we follow by ratio that is defined.

Answer

tan50° = d/ccos50° = c/x

Questions can be asked through comment.

Furthermore, tan also has its reciprocal form itself which is called cotangent also known as cot in short.

Hope this helps, and Happy Learning! :)

simplify 3+4(y-7)+5y​

Answers

Answer:

9y-25

Step-by-step explanation:

Answer:

9y-25

Step-by-step explanation:

Math

HELP ASAPPPP, FIRST PERSON TO HAVE THE CORRECT ANSWER WILL HAVE BRAINLIEST

What is the distance between points (8,3) and (3, 1) on the coordinate plane?


OA. 3 units
OB. 21 units
OC.29 units
OD. 7 units

Answers

Answer:

√29

Step-by-step explanation:

You would use the distance formula in this case to solve the problem:

(8-3)^2+(1-3)^2=29

Now square root 29, leaving you with √29.

Answer:

5.39

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(3 - 8)² + (1 - 3)²

√(-5)² + (-2)²

√25 + 4

√29

= 5.39

Jim and Carol recorded gas prices at five stations for their own towns in the table below. Gas Prices Name Station 1 Station 2 Station 3 Station 4 Station 5 Jim $3.45 $3.54 $3.71 $3.62 $3.49 Carol $3.89 $3.65 $3.39 $3.48 $3.49 Which person's town had the lower mean for gas prices and by about how much?
A Jim, by $0.02
B Carol, by $0.02
CJim, by $0.06
D. Carol, by $0.06​

Answers

The answer is letter C

y=x
2
+3x+2 & y=4x+4

Answers

Answer:

Step-by-step explanation:pho;np9yil.gboil k,

what is 4.13 to the nearest tenth

Answers

Answer:

4.1

Step-by-step explanation:

The answer is 4.1 I’m pretty sure :)

The product ( the result of a multiplication problem ) of 2 rational expressions is x+22x−3 with the restrictions x≠– 3, x≠32, x≠4 and x≠ 5. Find an expression that meets the criteria. You may leave your answer in factored form.

Answers

Answer:

x + 22x - 3 = 4 (5x) + 3 (x-1)

Step-by-step explanation:

x + 22x - 3  

23x - 3

20x + 3x - 3

5x + 15x + 3x - 3

5x (1 + 3) + 3 ( x - 1)

4 (5x) + 3 (x-1)

Pls help will mark brainliest

Answers

answers
a) 55
b) 8
c) 3

On a map 1 inch equals 5.2 miles. Two houses are 1.5 inches apart on the map. What is the actual distance between the houses?

Answers

Answer:

7.8 miles.

Step-by-step explanation:

5.2 x 1.5 = 7.8

You sold your friend a raffle ticket for $1. If his ticket is selected from the 1000 sold, he will win
$500. What is the expected value of his net gain?
0 -$0.10
-$0.99
0 -$0.50
0 $0.05

Answers

They are expected to win back on average 50 cents back, which is a bad investment.

Ali runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?

Answers

Answer:

4

Step-by-step explanation:

Correct answer: in 44 minutes, he would run 4.8 miles

Expand (2+x)(2-x). If necessaty combine like terms

Answers

Answer:

Step-by-step explanation:

(2+x)(2-x)

2(2-x)+x(2-x)

4-2x+2x-x^2

4-x^2

a group of 4 friends shares 2 packs of gum equally? there are 8 pieces of gum in each pack. which set of equations shows how many pieces of gum, g each friend recieves?

Answers

4 friends
2 packs of gum
8 pieces each pack


PEMDAS
8x2/4
16/4
4

The answer is each friend would receive 4 pieces of gum

PLEASE HELP WILL MARK BRAINLY NO LINKS ONLY GET ONE AWNSER FOR ME SO NO LINKS OR FUNNY STUFF

Answers

Answer: I believe it's 6 5/8

Step-by-step explanation:

What is the square root of 200 in a whole

Plz answer

Answers

Answer:

The square root of 200 can be simplified as 10√2.

Step-by-step explanation:

hope i helped

Answer:

10[tex]\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{2^{3} * 5^{2} }[/tex]

[tex]\sqrt{2^{2} *2*5^{2} }[/tex]

[tex]2\sqrt{2}\sqrt{5^{2} }[/tex]

[tex]2\sqrt{2} *5[/tex]

10[tex]\sqrt{2}[/tex]

Help with this please!!

Answers

Answer:

the first answer

Step-by-step explanation:

well first ofc u have to graph both equations to be able to compare them and if u don't have a graphing calculator just search up Desmos graphing calculator it will help A LOT

Which is the graph of f(x) = 2(3)x ?

Answers

Answer:

A

Step-by-step explanation:

the rest are inccorect

please help i’ll give brainliest!!! thanks

Answers

i think lack of order

Answer:

Lack of order

Step-by-step explanation:

Martin is driving to his uncle’s farm, which is 240 mi. from home. If he drives at a constant rate of 60 mph, how long will it take Martin to get to the farm? A. 2 hr. B. 4 hr. C. 5 hr. D. 6 hr.

Answers

Answer:

4 hours

Step-by-step explanation:

240 divided by 40

Answer:

4 hours

240 divided by 60

Step-by-step explanation:

Hope it helps

HELPPPPPPPPPPPP THIS IS A MEGA TEST Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool. Then, she measures out the liter of the remaining solution to use to clean the pool filter. How much chlorine solution is left in the bottle?

Answers

Answer:

1/4 L

Step-by-step explanation:

2 1/2=10/4  10/4*3/4=30/16= 1 7/8

1 7/8=15/8        10/4*2=20/8          20/8-15/8=5/8

5/8-3/8=2/8 or 1/4 L

Answer: 1/4 L

In bottle 1/4 of chlorine solution is left in bottle.

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool.

And, then she measures out 3/8 liters of the remaining solution to use to clean the pool filter.

Now,

Chlorine solution in bottle = 2 1/2 × ( 1 - 3/4 ) - 3/8

                                        = 5 / 2 × 1/4 - 3/8

                                        = 5 / 8 - 2 / 8

                                        = 1 / 4

Thus, In bottle 1/4 of chlorine solution is left in bottle.

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The complete question is this;

Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool then she measures out 3/8 liters of the remaining solution to use to clean the pool filter how much chlorine solution is left in the bottle?

Norma needs to find the sum of the fractions below. 3/8 +5/6 Norma starts by multiplying the first fraction by 3/3.
By which number should she multiply the second fraction?
A.8/8
B.4/4
c.3/3
d.undefined

Answers

Answer:

Its A

Step-by-step explanation:

Because if you add 3+5 that is 8 so 8/8

i need help write expression in exponential from

Answers

3. 5x5x5. i am not sure if i am correct but i am assuming it is that.

Find the measure of angle b. PLZ HELP AND SHOW WORK

Answers

Answer:

1) A because of vertical angle theorem (VAT), which means that b=37 degrees

2) C because a right angle is= to 90 degrees. Take away 23, you get 67 degrees

3) B because the image shows a full angle, which is equal to 360 degrees. Take away 207 and 58, you get 95 degrees

4) D because a right angle is= to 90 degrees. Take away 44, you get 46 degrees

5) A because a right angle is=to 90 degrees. Take away 58, you get 32 degrees

Solve 4x^2-16x-84 by factoring, completing the square and, by quadratic formula(show work, pls)

Answers

Answer:

-500 (I think)

Step-by-step explanation:

What is the probability of spinning an even number?

Answers

Answer:

3/5

Step-by-step explanation:

there are 6 even numbers and 4 odd so 10 in total which is 6/10 and that simplified is 3/5 PLS give me brainliest i beg

find the volume of the irregular figure

Answers

Answer:

V = 672cm^3

Step-by-step explanation:

V of irregular figure = lwh + lwh

V = 7(3)(2) + 10(7)(9)

V = 42 + 630

V = 672cm^3

Find the area of the following triangle: 17 9 14 10 Note: Figure not to scale.​

Answers

Jejkskskdjjdjshdbdbsnnsjskskksk 13455

laura has a 3-digit combination lock on her briefcase and has forgtten the combination. If she knows that the first digit is a 3, and the second digit is a prime, how many numbers must Laura try before the lock is sure to open?

Answers

Answer:

Laura needs to try 36 more times before the lock is sure to open.

Step-by-step explanation:

Alright, with a three digit lock, there are 9 possible numbers for each digit:

1, 2, 3, 4, 5, 6, 7, 8, and 9.

Since the first one is 3, lets move onto the second digit, which is prime.

Of the numbers between 1-9,

2, 3, 5, and 7 are prime.

With the last digit, it can be any number 1-9.

With all of this, there are 4 combos left for the second digit then 9 combos for the third digit. Therefore, there would be 36 possible combinations as 4 * 9 =36.

estimate 12 8/9 - 10 1/6

Answers

Answer: 49/18

Step-by-step explanation:

Identify who is correct
Describe the mistake that was made

Answers

Jack is wrong because he used the distributive property wrong. On the top equation, you see 2(4k - 3). The 2 multiplies into the (), so basically you have

2 x 4k - 2 x 3

which gives you

8k - 6

Answer:

Taniyah

Step-by-step explanation:

Taniyah is correct because you need to:

diistribute : 8k - 6 - 6k = 14

combine like terms : 2k - 6 = 14

add 6 to both sides : 2k - 6 + 6 = 14 + 6

simplify : 2k = 20

divide both sides by the same factor : 2k/2 = 20/2

simplify : k = 10

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