There is a cylinder circumscribing the hemisphere such that their bases are common. The ratio of their volume is

Foundation

Mathematics Foundation

Surface Area and Volume

Mensuration

Question

There is a cylinder circumscribing the hemisphere such that their bases are common. The ratio of their volume is

3 : 4

2 : 3

1 : 2

1 : 3

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The ratio of volume of cylinder and hemisphere
$= \frac{\frac{2}{3} {πr}^{3}}{{πr}^{2} h} ∴ (h = r)$

$= \frac{2}{3}$