Question

The cylinder below has a volume of 2, 512 cm3 and a height of 8 centimeters. What is the diameter of the cylinder? A 10 cm B 25.12 cm C 20 cm D 100 cm

Answer 1

Diameter of cylinder is 20 cm

Solution:

Given that,

Volume of cylinder = 2512 cubic centimeter

Height = 8 cm

To find: Diameter of cylinder

The volume of cylinder is given as:

`Volume = \pi r^2 h`

Where, "r" is the radius and "h" is the height

Substituting the given values we get,

`2512 = 3.14 * r^2 * 8\\\\2512 = 25.12 * r^2\\\\r^2 = (2512)/(25.12)\\\\r^2 = 100\\\\r = 10`

Thus radius is 10 cm

We know that,

Diameter = 2(radius)

Diameter = 2(10) = 20 cm

Thus diameter of cylinder is 20 cm