The volume of this cylinder is 6,430.72 cubic centimeters, the height is 8 cubic centimeters. What is the radius? Use ≈ 3.14 and round your answer to the nearest hundredth.

radius = 16 cm

Step-by-step explanation:

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

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

Volume = 6,430.72 cubic centimeters

Height = 8 centimeters

Therefore,

6430.72 = 3.14 × r² × 8

6430.72 = 25.12r²

r² = 6430.72/25.12

r² = 256

Taking square root of the left hand side and the right hand side of the equation, it becomes

r = √256

r = 16 cm