164k views
3 votes
The height of a cylinder is 5 centimeters. The circumference of the base of the cylinder is 16πcentimeters.Which measurement is closest to the volume of the cylinder in cubic centimeters?

The height of a cylinder is 5 centimeters. The circumference of the base of the cylinder-example-1
User MkWTF
by
7.7k points

1 Answer

1 vote

The formula for determining the volume of a cylinder is expressed as

Volume = pi * radius^2 * height

From the information given,

the circumference of the circular base = 16 * pi

We know that

circumference = 2 * pi * radius

Thus, 2 * pi * radius = 16 * pi

pi cancels out on both sides of the equation. It becomes

2 * radius = 16

radius = 16/2 = 8

Recall, pi = 3.14

Height = 5

Thus,

Volume = 3.14 * 8^2 * 5

Volume = 1004.8

Thus, the closest measurement is 1005.3 cm^3

The first option is correct

User SNT
by
8.1k points

No related questions found

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