SEARCH HOME
 Math Central Quandaries & Queries
 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