Question

Ex. 61. The volumes of a sphere and a right circular
cylinder having the same radius are equal. The ratio of the
diameter of the sphere to the height of the cylinder is​

Answer 1

Answer:

Let r = Radius of cylinder = Radius of sphere, h = Height of the cylinder.

According to the question,

43πr3=πr2h43πr3=πr2h

=> h=43r=>4r=3hh=43r=>4r=3h

=> 2r=32h=>2rh=322r=32h=>2rh=32

Therefore, Required ratio = 3 : 2

Step-by-step explanation:

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