Question

A cylinder has a height of 16 yards. Its volume is 6,079.04 cubic yards. What is the radius

the cylinder?

Answer 1

The radius of the cylinder is: r = 11 yards

Explanation:

Given

The height of cylinder = h = 16 yards

Volume of cylinder = V = 6079.04 cubic yards

To determine

The radius of cylinder = r = ?

Using the formula involving volume of the cyliner

V = πr²h

substituting h = 16, V = 6079.04 and π = 3.14

6079.04 = 3.14 (r²) 16

r² = [6079.04] / [(3.14) (16)]

r² = 6079.04 / 50.24

r² = 121

`r=√(121),\:r=-√(121)`

`r=11,\:r=-11`

As radius can not be negative.

Therefore, the radius of the cylinder is: r = 11 yards