119k views
3 votes
The circumference of the base of a cylinder is 88 cm, and its height is 15 cm. Find the volume of the cylinder. a) 1540 cm³ b) 4620 cm³ c) 2310 cm³ d) 770 cm³

User Hjalmar
by
8.4k points

1 Answer

1 vote

Final answer:

To find the volume of a cylinder, use the formula V = πr²h, where r is the radius of the base and h is the height. Substitute the given values and solve to find the volume.

Step-by-step explanation:

To find the volume of a cylinder, we use the formula V = πr²h, where V is the volume, r is the radius of the base, and h is the height. In this case, we are given the circumference of the base, which is 88 cm. The formula for circumference is C = 2πr, so we can solve for r by dividing the circumference by 2π. Substitute the value of r, along with the given height of 15 cm, into the formula for volume and calculate to find the answer.

Using the given circumference of 88 cm, we can find the radius (r) as follows:

C = 2πr

88 = 2πr

r = 88 / (2π)

To find the volume (V) of the cylinder:

V = πr²h

V = πr² * 15

Substitute the value of r and the given height:

V = π * (88 / (2π))² * 15

Calculate the expression to find the volume, which is approximately 1540 cm³.

Learn more about Volume of a cylinder

User Jeroen Van Menen
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories