189,372 views
32 votes
32 votes
A cylinder has volume 45 pie and radius 3. What is its height?

User Pavithra Rox
by
3.1k points

1 Answer

16 votes
16 votes

Answer:

5 units

Explanation:

The volume of the cylinder is the area of the circle multiplied by it's height. Therefore, the volume of the cylinder is πr² × h, which when simplified, gives us πr²h. Let's substitute the volume and the radius in the formula to find the height.

⇒ πr²h = Volume of cylinder

⇒ (π)(3²)(h) = 45π

Now, simplify the equation to evaluate the area of the cylinder.

⇒ (π)(3²)(h)/(3²)(π) = 45π/(3²)(π)

⇒ (h) = 45π/(9)(π) = 45/(9) = 5 units

User Karriem
by
3.1k points