Question

If the radius of a sphere is doubled, how many times does its volume become?

• A. 2 times
• B. 4 times
• C. 6 times
• D. 8 times

Answer 1

The correct option is D 8 times

Initial radius = r
Final radius = 2r
Initial Volume = $\frac{4}{3}\pi r^3$

Final volume = $\frac{4}{3}\pi (2r{)}^3$

Ratio will be equal to

$\frac{\text{Final Volume}}{\text{Initial Volume}}=\frac{\frac{4}{3}\pi (2r{)}^3}{\frac{4}{3}\pi r^3}=8$