NECO 2024 · Paper 1 · Q46

Solid mensuration

The volume of a spherical ball is $114\text{ cm}^3$ . Find its radius to the nearest whole number.

Worked solution (try it first)

Volume of a sphere: $\frac43\pi r^3 = 114$ .
So $r^3 = \dfrac{3 \times 114}{4\pi}$
$\approx 27.2$ .
Take the cube root: $r \approx 3$ cm, option E.

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