college algebra word problem

Question

Use the formula V = π r²h

 to find the radius of a cylinder with a height of 43 and a volume of 172 π

Answer 1

Hello, thank you for taking the time to post your question!

The underlying formula we want to use here is V = pi*r^2*h

For this question, we’re plugging in V = 172pi and h = 43 to get

172pi = pi * r^2 * 43

From there then you want to solve for the value of “r” algebraically

172/43 = r^2

r = sqrt(172/43) = sqrt(4) = 2

Meaning that the radius of the cylinder here is 2 cm

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

V= 172pi = pir^2(43)

pis cancel leaving

172 = 43r^2

r^2 = 172/43

r = sqr(172/43)

=sqr4

=2