Question

The volume of material required to be extracted from a sphere of radius 4 cm to create a shell of radius 1 cm = cm ${}^3$.

• A. 264
• B. 288
• C. 464
• D. 512

Answer 1

The correct option is A 264

The volume of a sphere = $\frac{4}{3}\times \pi \times {\text{radius}}^3$.
Hence, the volume of material required to be extracted = Volume of sphere of radius 4 cm - Volume of sphere of radius 1 cm = $\frac{4}{3}$$\times$$\pi$$\times$(4)${}^3$ - $\frac{4}{3}$$\times$$\pi$$\times$(1)${}^3$ = 264 cm ${}^3$.