Core stretch

A solid square pyramid has height 33 cm and base side 21 cm. It is melted and recast as a sphere. Using $\pi=22/7$, find the sphere radius.[3]

Question

Core stretch A solid square pyramid has height 33 cm and base side 21 cm. It is melted and recast as a sphere. Using $\pi=22/7$, find the sphere radius. $33$ $21\times21$

Accepted Answer

$10.5$ cm.

Square pyramid recast as a sphere

Square pyramid recast as a sphere

Solution:

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