If the radius of a sphere is 2r, then its volume is _________.

Open in App

Solution

We know

Volume of the sphere of radius R = $\frac{4}{3} π R^{3}$

Now,

Radius of the sphere = 2r (Given)

∴ Volume of the sphere

$= \frac{4}{3} π {(2 r)}^{3}$

$= \frac{4}{3} π \times 8 r^{3}$

$= \frac{32}{3} π r^{3}$

Thus, the volume of the sphere is $\frac{32}{3} π r^{3}$ cu. units.

If the radius of a sphere is 2r, then its volume is $\frac{32}{3} π r^{3} cu . units$ .

Suggest Corrections

Similar questions

Q. The radius of a sphere is

2 r

, then its volume will be:

Q. If the radius of a sphere

3 r

, then What is its volume?

Question 1
If the radius of a sphere is 2r, then its volume will be:

A) $\frac{4}{3} π r^{3}$
B) $4 π r^{3}$
C) $\frac{8}{3} π r^{3}$
D) $\frac{32}{3} π r^{3}$

Q. If the volume of a sphere is

38808 {c m}^{3}

then its radius is = ___ cm.

Q. If the volume of a sphere is

\frac{9}{16} π

c u . c m

, then its radius is

Join BYJU'S Learning Program

If the radius of a sphere is 2r, then its volume is _________.

We know Volume of the sphere of radius R = 43πR3 Now, Radius of the sphere = 2r (Given) ∴ Volume of the sphere =43π2r3 =43π×8r3 =323πr3 Thus, the volume of the sphere is 323πr3 cu. units. If the radius of a sphere is 2r, then its volume is 323πr3 cu. units .