How can I solve this math problem

User Generated

naanxnl19

Mathematics

Description

Suppose that the height of a cylinder is 30cm and its volume is 750π cm2.  Find its radius.

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Explanation & Answer

Hi there! Thank you for the opportunity to help you with your question!

For this problem, you have that the volume of a cylinder is 750π. Given that the formula for the volume of a cylinder is:

V = πr^2h

Then we plug in the facts that we know V = 750π, and h = 30:


750π = π r^2 (30)

Dividing both sides by 30π :

25 = r^2

Taking the square root of both sides:

5 = r

So the radius of the cylinder is 5 

Please let me know if you need any clarification. Always glad to help!


Anonymous
I was having a hard time with this subject, and this was a great help.

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