Question

A cube and a sphere are of same height.find the ratio of their volumes

Answer 1

Hey friend!!

Here's ur answer...

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$let \: height \: of \: cube \: = h \: \\ diameter \: of \: sphere \: = h \\ radius \: = \frac{h}{2} \\ \\ \frac{volume \: of \: cube}{volume \: of \: sphere \: } = \frac{ {h}^{3} }{ \frac{4}{3}\pi( \frac{h}{2} {)}^{3} } \\ \\ = \frac{ {h}^{3} }{ \frac{4}{3} \pi \: \frac{ {h}^{3} }{8} } \\ \\ = \frac{ {h}^{3} \times 8 \times 3 }{4\pi {h}^{3} } \\ \\ = \frac{2 \times 3}{\pi} \\ \\ = \frac{6}{\pi}$


So, ratio is 6:pi

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Hope it may help you...


Thank you :) :))

Answer 2

answer

I don't know your ans