The largest sphere is to be carved out of a right circular cylinder of radius $7 c m$ and height $14 c m$ . Find the volume of the sphere.

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Solution

The largest sphere is obviously of radius $7 c m$

Volume $= \frac{4}{3} \times π \times 7^{3} = 1436.75 c m^{3}$

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Similar questions

A largest sphere is to be carved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere. (Answer correct to the nearest integer).

Q. The largest sphere to be curved out of a right circular cylinder of radius

7 c m

and height

14 c m

. Find the volume of the sphere.

Q. The largest sphere is carved out of a cube of a side

7 c m

. Find the volume of the sphere.

Q. The largest sphere is carved out of a cube of side

7 c m

. Find the volume of the sphere.

(Take

π = 3.14

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 largest sphere is to be carved out of a right circular cylinder of radius 7cm and height 14cm. Find the volume of the sphere.

The largest sphere is obviously of radius 7cmVolume =43×π×73=1436.75cm3

The largest sphere is to be carved out of a right circular cylinder of radius $7 c m$ and height $14 c m$ . Find the volume of the sphere.

The largest sphere is obviously of radius $7 c m$

Volume $= \frac{4}{3} \times π \times 7^{3} = 1436.75 c m^{3}$