Question

Challenging. A cylinder has a diameter of 12 inches at its base. The height of the cylinder is 1.25 feet. What is the volume of the cylinder in cubic inches? Use 3.14 for 7 and round your answer to the nearest cubic inch.

Answer 1

Diameter of cylinder = 12 inches

radius of cylinder (r) = 1/2 x diameter = 6 inches

Height of cylinder (h) = 1.25 feet

We can convert feet to inches using the relation: 1 foot = 12 inches

So, 1.25 feet = 12 x 1.25 inches

=> 15 inches

The volume of the cylinder is given by:

`V\text{ = }\pi r^2\text{ h}`

Upon substituting the values of r and h

`\begin{gathered} V\text{ = 3.14 x 6 x 6 x 15} \\ \\ V=\text{ }1695.6\text{ cubic inches} \\ V=1696inches^3 \end{gathered}`