Question

A laser pointer in the shape of a cylinder is 13 centimeters long with a radius of 0.75 centimeter. What is the volume of the laser pointer. Express your answer in terms of pi and round to the nearest cubic centimeter.

Answer 1

v=23

Explanation:

Answer 2

`V\approx 23\ cm^3`

Explanation:

Volume of a cylinder

Assume a cylinder with a base of radius r and with a height h. The volume of the cylinder is given by the formula.

`V=\pi r^2.h`

The laser pointer has a shape of a cylinder of height h = 13 centimeters and a radius of r = 0.75 centimeter.

Computing the volume:

`V=\pi\cdot 0.75^2\cdot 13`

We'll operate all the numbers except pi to express the answer as required

`V=7.3125\pi \ cm^3`

To express the answer rounded to the nearest cubic centimeter, we must calculate it including the value of pi

`V=22.97\ cm^3`

Rounding to the nearest value

`\boxed{V\approx 23\ cm^3}`