Question

what is the maximum volume of a sphere which is carved from a cube one edge is 10cm​

Answer 1

Answer:

Radius of sphere = 1/2 x side of cube

= 1/2 x 10

= 5 cm

Volume = 4/3 x 22/7 x 125

= 523.8 cm^3

Answer 2

The maximum volume of a sphere which is carved from a cube one edge is 10cm​ is 523.6 cm^3.

• Let the radius of the sphere of maximum volume is r cm.
• Now it's given that the length of one edge is 10 cm. So the volume of the cube is = $10^{3}= 1000 cm^{3}$ .

• Now the volume of the sphere is  $\frac{4}{3}\pi r^{3} cm^{3}$

• For maximum sphere edge of the cube = diameter of the sphere
• So $10=2r$ or r = $5$ cm
• So the maximum volume = $\frac{4}{3}\pi (5) ^{3} cm^{3}$ = 523.6 $cm^{3}$