Question

If the surface area of a marble is
1/4pie
sq. cm, find its
volume.

Answer 1

Given:

Surface Area of marble=1/4π sq. cm

To Find:

Volume of a marble.

Note:

Marble is of a sphere shaped.

Solution:

Surface area of a sphere=4πr²

1/4π=4πr²

1=4πr²×4π

1=16π²×r²

1/r²=16π²

(1/r) ²=16π²

1/r=4 π

r=1/4π

Now Volume of a sphere=4/3πr³

=4/3×π×(1/4π) ³

=1/48π²

Therefore,

Volume of a marble is

1/48π²cubic.cm