Enter the volume of the cylinder, in cubic inches. Round your answer to the nearest hundredths 4in wide and 5in long

1 answer

To find the volume of a cylinder, you need to multiply the area of the base by the height. The base of the cylinder is a circle, so you need to find its area first. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

Given that the width (or diameter) of the cylinder is 4 inches, the radius would be half of that, which is 4/2 = 2 inches.

Next, find the area of the base:
A = πr²
A = π(2)²
A = 4π

The length of the cylinder is given as 5 inches, which will be the height (h) of the cylinder.

Now, to find the volume (V) of the cylinder:
V = A * h
V = 4π * 5
V = 20π

The volume of the cylinder, rounded to the nearest hundredths, is approximately 62.83 cubic inches.