Question

The volume of a cylinder is 90 pi cm^3 . If the radius is 3cm, what is the height of the cylinder?
(pythagorean theorem)
Please help Ill give brainlist

Answer 1

Answer:

A) 10 cm

Step-by-step explanation:

You don't need the Pythagorean Theorem. You can simply use the formula for the volume of a cylinder and solve for the height:

$V=\pi r^2h\\\\90\pi=\pi (3)^2h\\\\90\pi=9\pi h\\\\10=h$

Therefore, the height of the cylinder is 10 cm.

Answer 2

• r=3cm
• h=?

$\\ \tt\hookrightarrow V=\pi r^2h$

$\\ \tt\hookrightarrow 3^2\pi h=90\pi$

$\\ \tt\hookrightarrow \pi h=10\pi$

$\\ \tt\hookrightarrow h=10cm$