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| Math Central | Quandaries & Queries |
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Question from Sambox: When I have a hemisphere with a volume of 700Pi m^3 what is the radius? |
Hi,
The volume $V$ of a sphere of radius $r$ meters is given by
\[V = \frac43 \pi \;r^3 \mbox{ cubic meters.}\]
Your hemisphere has volume $700 \pi $ meters cubed so the whole sphere would have volume $1400 \pi $ cubic meters. thus
\[1400\; \pi = \frac43 \pi \; r^{3} .\]
Solve for $r.$
Penny
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