Question

If the radius of a sphere is 3 cm, then its volume is:

• A. \( 4\pi r^3 \) cm\(^3\)
• B. \( \frac{4}{3} \pi r^3 \) cm\(^3\)
• C. \( 4\pi r^2 \) cm\(^3\)
• D. \( \frac{3}{4} \pi r^3 \) cm\(^3\)

Hint:

The volume of a sphere is calculated using \( V = \frac{4}{3} \pi r^3 \). Ensure you substitute the radius correctly to get the accurate volume.

Answer 1

The Correct Option is B

The volume \( V \) of a sphere is given by the formula: \[ V = \frac{4}{3} \pi r^3 \] Substituting \( r = 3 \) cm into the formula: \[ V = \frac{4}{3} \pi (3)^3 = \frac{4}{3} \pi \times 27 = 36\pi \, \text{cm}^3 \] Final Answer: \( \frac{4}{3} \pi r^3 \) cm\(^3\).