Question
A solid is in the form of a cone standing one hemi$-$sphere with both their radii being equal to $8 \ cm$ and the height of cone is equal to its radius. Find, in terms of $\pi$ , the volume of the solid.
✓
Answer
Volume of the solid
$=\frac{1}{3} \pi r^2 r+\frac{2}{3} \pi r^3$
$=\frac{1}{3} \times \pi \times 8^3+\frac{2}{3} \times \pi \times 8^3$
$=\pi 8^3$
$=512 \pi \ cm ^3$
$=\frac{1}{3} \pi r^2 r+\frac{2}{3} \pi r^3$
$=\frac{1}{3} \times \pi \times 8^3+\frac{2}{3} \times \pi \times 8^3$
$=\pi 8^3$
$=512 \pi \ cm ^3$
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