Multiple choice

The radius of a sphere is $2r$, then its volume will be:

  1. $\dfrac{4}{3} \pi r^{3}$
  2. $4 \pi r^{3}$
  3. $\dfrac{8 \pi r^{3}}{3}$
  4. $\dfrac{32}{3} \pi r^{3}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Volume of a sphere = (4/3) * pi * R^3. Here R = 2r. Volume = (4/3) * pi * (2r)^3 = (4/3) * pi * 8r^3 = (32/3) * pi * r^3.

AI explanation

Using the volume of a sphere formula V equals 4/3 times pi times the radius cubed, we substitute the radius as 2r. This gives V equals 4/3 times pi times (2r) cubed. Expanding (2r) cubed gives 8 times r cubed, so V equals 32/3 times pi times r cubed.

Keep practicing — related questions