If the radius of a sphere is doubled, how many times does its volume becomes ?
A. 2 times
B. 4 times
C. 6 times
D. 8 times
Answer: Option D
Solution (By Examveda Team)
Let the original radius be rThen, original volume = $$\frac{4}{3}\pi {r^3}$$
New area = 2r
∴ New volume :
$$\eqalign{ & = \frac{4}{3}\pi {\left( {2r} \right)^3} \cr & = 8 \times \frac{4}{3}\pi {r^3} \cr & = 8 \times {\text{Original volume}} \cr} $$
Join The Discussion