A bowl is in the shape of a hemisphere with a diameter of 16 cm - HSC - SSCE Mathematics Standard - Question 16 - 2019 - Paper 1

The volume of a hemisphere is given by the formula:

$V = \frac{1}{2} \times \frac{4}{3} \pi r^3$

Substituting the value of the radius into the formula:

$V = \frac{1}{2} \times \frac{4}{3} \pi (8)^3$

Calculating this gives:

$V = \frac{4}{6} \pi (512) = \frac{2048}{6} \pi \approx 1072\text{ cm}^3$

Therefore, the volume of the bowl, correct to the nearest cubic centimetre, is 1072 cm³.