A hemispherical bowl of internal radius 12 cm contains liquid. This liquid is to

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Question

A hemispherical bowl of internal radius 12 cm contains liquid. This liquid is to be filled into cylindrical container of diameter 4 cm and height 3 cm. The number of containers that is necessary to empty the bowl is :

Options:

A . 80

B . 96

C . 100

D . 112

Answer: Option B
Volume of hemispherical bowl :
$$ = \left( {\frac{2}{3} \times \pi \times 12 \times 12 \times 12} \right)c{m^3}$$
Volume of 1 cylindrical container :
$$ = \left( {\pi \times 2 \times 2 \times 3} \right)c{m^3}$$
∴ Number of containers required :
$$\eqalign{
& = \frac{2}{3} \times \frac{{12 \times 12 \times 12}}{{2 \times 2 \times 3}} \cr
& = 96 \cr} $$

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