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

\frac{4}{3} π r^{3}

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4 π r^{3}

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\frac{8 π r^{3}}{3}

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\frac{32}{3} π r^{3}

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Solution

The correct option is B $\frac{32}{3} π r^{3}$
As, $r = 2 r$
Volume of sphere $= \frac{4}{3} π (2 r)^{3} = \frac{32}{3} π r^{3}$

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Similar questions

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. The volume of a sphere with radius r is 4/3πr³. Write a Python program to find the volume of spheres with radius 7 cm, 12 cm, 16 cm, respectively.

$The volume of a sphere of radius 2r is (a) \frac{32 π r^{3}}{3} (b) \frac{16 π r^{3}}{3} (c) \frac{8 π r^{3}}{3} (a) \frac{64 π r^{3}}{3}$

Q. The volume of a sphere is

\frac{4}{3} π r^{3}

cubic units, then the ratio of the volume of a cube to that of a sphere which will fit inside the cube is:

Q. STATEMENT - 1 : The volume of largest sphere that can be carved out from
cube of side a cm is

\frac{1}{6} π a^{3}

STATEMENT - 2 : Volume of sphere is

\frac{4}{3} π r^{3}

and for largest sphere to carved from cube radius of sphere

=

side of cube

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

The correct option is B 323πr3As,r=2rVolume of sphere=43π(2r)3=323πr3

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

The correct option is B $\frac{32}{3} π r^{3}$
As, $r = 2 r$
Volume of sphere $= \frac{4}{3} π (2 r)^{3} = \frac{32}{3} π r^{3}$