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The volume of air in a hollow cylinder is $450 cm^3$. A cone of same height and radius as that of cylinder is kept inside it. The volume of empty space in the cylinder is
The volume of air in a hollow cylinder is $450 cm^3$. A cone of same height and radius as that of cylinder is kept inside it. The volume of empty space in the cylinder is
a) $225 cm^3$
b) $150 cm^3$
c) $250 cm^3$
d) $300 cm^3$
This Question has 1 answers.
$V_{\text{cylinder}} = 450 \, \text{cm}^3$
$V_{\text{cone}} = \frac{1}{3} V_{\text{cylinder}} = \frac{1}{3} \times 450 = 150 \, \text{cm}^3$
$V_{\text{empty space}} = V_{\text{cylinder}} - V_{\text{cone}}$
$= 450 - 150 = 300 \, \text{cm}^3$
$\text{Answer: } 300 \, \text{cm}^3$
$V_{\text{cone}} = \frac{1}{3} V_{\text{cylinder}} = \frac{1}{3} \times 450 = 150 \, \text{cm}^3$
$V_{\text{empty space}} = V_{\text{cylinder}} - V_{\text{cone}}$
$= 450 - 150 = 300 \, \text{cm}^3$
$\text{Answer: } 300 \, \text{cm}^3$
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