Core stretch A solid consists of a cone of radius 6 cm and height 8 cm joined to a hemisphere of rad

Question

Core stretch

A solid consists of a cone of radius 6 cm and height 8 cm joined to a hemisphere of radius 6 cm. It is melted into a right square pyramid with base side 10 cm. Using $\pi=3.142$, find

the original volume,[2]
the pyramid face slant height.[2]

Accepted Answer

(a) $754.08\text{ cm}^3$ (b) $23.2$ cm.

Composite toy recast as a square pyramid

Composite toy recast as a square pyramid

Solution:

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