Colin is purchasing a can of beans.

The can is in the shape of a right circular cylinder. If the volume of the
can is 31.79 inches?
, and the
diameter is 3 inches, what is the height of the can? Use 3.14 for n and round to the nearest tenth.

1 answer

First, let's find the radius of the can:
Radius = diameter / 2
Radius = 3 inches / 2
Radius = 1.5 inches

Next, we use the formula for the volume of a cylinder:
Volume = π * r^2 * h
31.79 = 3.14 * (1.5)^2 * h
31.79 = 3.14 * 2.25 * h
31.79 = 7.065 * h
h = 31.79 / 7.065
h ≈ 4.5 inches

Therefore, the height of the can is approximately 4.5 inches.