Volume of a Cylinder Math Example 3

Follow the full solution, then compare it with the other examples linked below.

easy

A soup can has a diameter of 8 cm and a height of 12 cm. Find the volume. Leave your answer in terms of

\pi

1
Step 1: The radius is half the diameter: $r = 8/2 = 4$ cm.
2
Step 2: $V = \pi r^2 h = \pi \times 4^2 \times 12 = \pi \times 16 \times 12 = 192\pi$ cm³.

Answer

V = 192\pi

cm³.

Remember to halve the diameter to get the radius before substituting into the formula. Leaving the answer in terms of

\pi

is exact and avoids rounding errors from using an approximation for

\pi

About Volume of a Cylinder

The amount of three-dimensional space inside a cylinder, found by multiplying the area of the circular base by the height.

A cylinder has a radius of 4 cm and a height of 10 cm. Find its volume. Use [formula].

A cylindrical water tank holds [formula] liters. Its height is 20 m. Find the radius of the tank.

Two cylinders have the same volume. Cylinder A has radius 3 and height 16. Cylinder B has height 4.