A container is in the form of a right circular cylinder surmounted by a hemisphere of the same radius $15 c m$ as the cylinder. If the volume of the container is $32400 π {c m}^{3}$ , then the find height $h$ ?

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Solution

$V = π r^{2} h = 32400 π$
$\Rightarrow h = \frac{32400 π}{π (15)^{2}} = 144$

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A container is in the form of a right circular cylinder surmounted by a hemisphere of the same radius 15cm as the cylinder. If the volume of the container is 32400πcm3, then the find height h?

V=πr2h=32400π⇒h=32400ππ(15)2=144

A container is in the form of a right circular cylinder surmounted by a hemisphere of the same radius $15 c m$ as the cylinder. If the volume of the container is $32400 π {c m}^{3}$ , then the find height $h$ ?

$V = π r^{2} h = 32400 π$
$\Rightarrow h = \frac{32400 π}{π (15)^{2}} = 144$