What is the volume(in cm3) of a spherical shell whose inner and outer radii are respectively 2 cm and 3 cm ?
Answer & explanation
Correct answer: option 4
We know that,
Volume of a hollow sphere = \(\frac{4}{3}\)π(R3 – r3)
We have,
Inner radius (r) = 2 cm
Outer radius (R) = 3 cm
Volume of a hollow sphere =
= \(\frac{4}{3}\) × π × (33 – 23)
= \(\frac{4}{3}\) × π × (27 – 8)
= \(\frac{4}{3}\) × π × 19 = $\frac{76 \pi}{3}$