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

Answer:

$V\approx 23\ cm^3$

Step-by-step 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

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