Question

A solid cone of radius 5 cm and height 8 cm is melted and made into small spheres of radius 0.5 cm. Find the number of spheres formed. [3 MARKS]

Answer 1

Formula: 1 Mark
Application: 1 Mark
Answer: 1 Mark

Number of spheres formed
$=\frac{Volumeofthecone}{Volumeofasphere}$
$=\frac{\frac{1}{3}\pi \times 5^2\times 8}{\frac{4}{3}\pi \times {\left(\frac{1}{2}\right)}^3}=\frac{25\times 8}{4\times \frac{1}{8}}=400$