If a solid piece of iron in the form of a cuboid of dimensions $49 ext{ cm} imes 33 ext{ cm} imes 24 ext{ cm}$ is

Question

If a solid piece of iron in the form of a cuboid of dimensions $49	ext{ cm} 	imes 33	ext{ cm} 	imes 24	ext{ cm}$ is molded into a sphere, the radius of the sphere is:

Accepted Answer

Volume of cuboid = $49 	imes 33 	imes 24 = 38808	ext{ cm}^3$. Volume of sphere = $\frac{4}{3}\pi r^3$. Equating both: $\frac{4}{3} 	imes \frac{22}{7} 	imes r^3 = 38808 \implies r^3 = \frac{38808 	imes 21}{88} = 9261 \implies r = \sqrt3{9261} = 21	ext{ cm}$.

Surface Areas and Volumes

❓ Sibling Questions in this Chapter