Specimen Paper SPEC/5/TZ0 P2 Q1

A metal sphere has a radius \(12.7\) cm.

1. Find the volume of the sphere expressing your answer in the form \(a \times 10^k\), \(1 \leq a < 10\) and \(k \in \mathbb{Z}\).

   [3]

The sphere is to be melted down and remoulded into the shape of a cone with a height of \(14.8\) cm

2. Find the radius of the base of the cone, correct to \(2\) significant figures.

   [3]