The radius of a cylinder is the same as that | vedclass

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(A) Let the radius of the sphere be $r$ and the radius of the cylinder be $r$. Let the height of the cylinder be $h$.Given that the volume of the sphe

Vedclass · Accepted Answer

$4/3$ times its radius.

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(A) Let the radius of the sphere be $r$ and the radius of the cylinder be $r$. Let the height of the cylinder be $h$.Given that the volume of the sphere is equal to the volume of the cylinder.The volume of a sphere is given by $V_s = \frac{4}{3} \pi r^3$.The volume of a cylinder is given by $V_c = \pi r^2 h$.Equating the two volumes: $\frac{4}{3} \pi r^3 = \pi r^2 h$.Dividing both sides by $\pi r^2$,we get $h = \frac{4}{3} r$.Therefore,the height of the cylinder is $4/3$ times its radius.

The radius of a cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is

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