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 $\pi = \frac{22}{7}$)
Answer & explanation
Correct answer: option 3
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