Question

A cylinder has a volume of 8,792 cubic units. If the height of the cylinder is 7 units, which of the following represents the radius of the cylinder?

Answer 1

Radius is 34.64inches

Explanation:

Volume of a cylinder is represented by

V = 1/3πr²h

r is the radius of the cylinder

h is the height of the cylinder

Given h = 7units and Volume V = 8,792 cubic units

To get the radius of the cylinder, we will substitute the given values into the formula to have;

8,792 = 1/3πr²(7)

8792 × 3 = 7πr²

r² = 26,376/7π

r² = 1200

r =√1200

r = 34.64inches

Answer 2

r ≈ 20 unit

Explanation:

The radius of the cylinder can be calculated as follows:

The volume of the cylinder was given as 8792 cubic units. The height was also given as 7 units .

volume of a cylinder = πr²h

where

r = radius

h = height

volume of cylinder = πr²h

8792 = π × r² × 7

8792 = 7πr²

divide both sides by 7

8792/7 = πr²

πr² = 1256

22/7 × r² = 1256

multiply both sides by 7/22

r² = 1256 × 7/22

r² = 8792/22

r² = 399.63636364

r = √399.63636364

r = 19.990907024

r ≈ 20 unit