Question

A cylinder's base has a radius of 8 m, and its volume is 512π m³. What is this cylinder's height?

a) 8 m
b) 16 m
c) 32 m
d) 64 m

Answer 1

To find the cylinder's height, use the formula for volume of a cylinder (V = πr²h). By rearranging the formula and plugging in known values (radius and volume), the height of the cylinder is calculated to be 8 meters.Therefore, the correct option is: a) 8 m

Step-by-step explanation:

The volume of a cylinder is given by the formula V = πr²h, where V represents the volume, r is the radius of the cylinder's base, and h is the cylinder's height. To find the height of a cylinder with a volume of 512π m³ and a base radius of 8 m, we can rearrange the formula to solve for h:

V = πr²h

512π m³ = π(8 m)²h

512π m³ = 64π m²h

h = 512π m³ / 64π m²

h = 8 m

Therefore, the height of the cylinder is 8 m.Therefore, the correct option is: a) 8 m