SOLUTION: a cone has volume 320cm cubed and height 16cm. find the radius of the base. round your answer to the nearest 0.1 cm.

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Question 594142: a cone has volume 320cm cubed and height 16cm. find the radius of the base. round your answer to the nearest 0.1 cm.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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a cone has volume 320cm cubed and height 16cm. find the radius of the base. round your answer to the nearest 0.1 cm.
:
Volume of cone equation: V = 1%2F3pi%2Ar%5E2%2Ah
so we have:
1%2F3pi%2Ar%5E2%2A16 = 320
Multiply both sides by 3
pi%2Ar%5E2%2A16 = 3(320)
pi%2Ar%5E2%2A16 = 960
Divide both sides by 16%2Api
r%5E2 = 960%2F%2816%2Api%29
Using a calc
r%5E2 = 19.09859
r = sqrt%2819.09859%29
r ~ 4.4 cm