Question

A cylinder has a diameter of 20cm.

The height of the cylinder is 3/5 the length of the diameter.

Calculate the volume of the cylinder in terms of π

Answer 1

V = 1200π

Explanation:

Volume of a cylinder formula:

• V = πr²h

Let's find the height of the cylinder by multiplying 20 cm by 3/5.

• 20 * 3/5 = 60/5 = 12 cm

The radius is 1/2 of the diameter, so:

• 20 * 1/2 = 20/2 = 10 cm

Substitute 12 for h and 10 for r into the volume formula.

• V = π(10)²(12)

Simplify.

• V = π * 100(12)
• V = π * 1200

The volume of a cylinder, in terms of π, is V = 1200π.