SOLUTION: A cube side 4cm has the same volume a cone with diameter 7cm.calculate correct to the nearest CM the hight of the cone

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Question 643957: A cube side 4cm has the same volume a cone with diameter 7cm.calculate correct to the nearest CM the hight of the cone
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A cube side 4cm has the same volume a cone with diameter 7cm.
correct to the nearest CM the height of the cone
:
Find the volume: 4^4 = 64 cu/cm
:
Find the ht of the cone with this volume & radius of 3.5 cm (half the diameter)
1%2F3pi%2A3.5%5E2%2Ah = 64
multiply both sides by 3
pi%2A12.25%2Ah = 192
h = 192%2F12.25%2Api%29%29%29
h = 4.989 cm is the height
:
:
Check this on your calc: enter 1%2F3*pi%2A3.5%5E2%2A4.989 results: 63.9997 ~ 64