SOLUTION: i don't get this question please help. the volume of the cone is 8 times pi times x to the second power times y to fifth power. The height is h and the radius of the base is 2y to

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Question 589149: i don't get this question please help. the volume of the cone is 8 times pi times x to the second power times y to fifth power. The height is h and the radius of the base is 2y to second power. Write and simplify an expression for the cone’s height. (Hint- the volume of the (1/3) (base x height) = volume
Answer by ankor@dixie-net.com(15657) About Me  (Show Source):
You can put this solution on YOUR website!
the volume of the cone is 8 times pi times x to the second power times y to fifth power.
The height is h and the radius of the base is 2y to second power.
Write and simplify an expression for the cone’s height.
I assume the radius given as 2y^2:
:
Volume of a cone
:
1%2F3pi%2A%282y%5E2%29%5E2%2Ah = 8%2Api%2Ax%5E2%2Ay%5E5
:
1%2F3pi%2A4y%5E4%2Ah = 8%2Api%2Ax%5E2%2Ay%5E5
multiply both sides by 3
pi%2A4y%5E4%2Ah = 3%288%2Api%2Ax%5E2%2Ay%5E5%29
divide both sides bypi%2A4y%5E4
h = %283%288%2Api%2Ax%5E2%2Ay%5E5%29%29%2F%28%284pi%2Ay%5E4%29%29
cancel
h = 3%282x%5E2y%29