Question

A sphere and cone have equal radii and equal volume. Find the relation between the radius (r) and the height (h) of the cone.

Answer 1

Volume Of Cone÷Volume Of Sphere=4/3pie r^3/1/3pie r^2h

1=4r^3/r^2h

1=2d/h

d/h=1/2

Ratio=1:2

Hope it helps

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Answer 2

Hey friend .....here is your answer....

As..radius(r) and volume is same....so,

V(sphere)= V( cone)
$\frac{4}{3} \pi {r}^{3} = \frac{1}{3} \pi {r}^{2} h \\ \\ 4r = h \\ or \: r = \frac{h}{4} .$
After canceling...3,Π,r^2....we get the result....

hope this help u....