Question

The largest sphere is cut off form a cube of side 5 cm find the volume of the sphere
and its surface area ?

Answer 1

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Answer 2

The volume of the sphere  is 65.47 cm³.

The surface area of the sphere  is 78.57 cm².

Step-by-step explanation:

Given : The largest sphere is cut off form a cube of side 5 cm.

To find : The volume of the sphere  and its surface area ?

Solution :

If largest sphere is carved out of a cube, then diameter of sphere is equal to side of the cube.

So, Diameter of sphere = 5 cm

Radius of sphere is r = $\frac{5}{2}$ cm

The volume of the sphere is $V=\frac{4}{3}\pi r^3$

$V=\frac{4}{3}\times\frac{22}{7}\times (\frac{5}{2})^3$

$V=\frac{4}{3}\times\frac{22}{7}\times \frac{125}{8}$

$V=\frac{1375}{21}$

$V=65.47\ cm^3$

The total surface area of sphere is $SA=4\pi r^2$

$SA=4\times \frac{22}{7}\times (\frac{5}{2})^2$

$SA=\frac{550}{7}$

$SA=78.57\ cm^2$

#Learn more

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