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.

Respuesta :

Answer:

[tex]V\approx 23\ cm^3[/tex]

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.

[tex]V=\pi r^2.h[/tex]

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:

[tex]V=\pi\cdot 0.75^2\cdot 13[/tex]

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

[tex]V=7.3125\pi \ cm^3[/tex]

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

[tex]V=22.97\ cm^3[/tex]

Rounding to the nearest value

[tex]\boxed{V\approx 23\ cm^3}[/tex]

Answer:

v=23

Step-by-step explanation: