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Cylinder, Cone and Sphere — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsCylinder, Cone and Sphere2 Marks
Question
A solid is in the form of a cone standing one hemi-sphere with both their radii being equal to 8cm 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$

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