Question

A cylinder has a volume of 675 centimeters square. It is 20 centimeter in height. What is the radius of the cylinder?

Answer 1

The radius of the cylinder is 3.277cm

Step-by-step explanation

The volume of a cylinder can be calculated using the formula below:

`V=\pi r^2h`

where "V" is the volume of the cylinder.

"r" is the radius of the cylinder.

h is the height of the cylinder.

π is a constant that is equal to 22/7

From the question given;

Volume = 675cm

Height = 20 cm

Radius (r) = ?

Substitute the values into the formular and solve for r.

`675=(22)/(7)* r^2*20`

`675=(440r^2)/(7)`
`440r^2=4725`

Divide both-side of the equation by 440.

`\frac{\cancel{440}r^2}{\cancel{440}}=(4725)/(440)`
`r^2=10.7386`

Take the square root of both-side of the equation.

r = 3.277 cm

Hence, the radius of the cylinder is 3.277cm.