What is the difference in the volume (in cm³) of a sphere of radius 7 cm and that of a cone of radius 7 cm and height 10 cm? (use $\pi = \frac{22}{7}$)

924

We know that,

The volume of a sphere = \(\frac{4}{3}\)π(Radius)³

The volume of a cone = \(\frac{1}{3}\) × π × (Radius)² × Height

We have,

The radius of the sphere = 7 cm

The radius of the cone = 7 cm

The height of the cone = 10 cm

The difference in volume = [\(\frac{4}{3}\)× π × 7³] - [\(\frac{1}{3}\)× π × 7² × 10]

= [(\(\frac{4}{3}\) × \(\frac{22}{7}\) × 343] - [\(\frac{1}{3}\)× \(\frac{22}{7}\)× 49 × 10]

= \(\frac{(7 × 22)}{3}\) (28 - 10) = (\(\frac{154}{3}\)) × 18 = 924 cm³