Question

Find the volume of the greatest sphere that can be cut of a cube of side 14 cm. Find also the volume of remaining place

Answer 1

Answer:

volume of the greatest sphere = 1,436.94 cm^3

Remaining volume = 1,307.06 cm^3

Step-by-step explanation:

The greatest sphere that can be cut from the cube of side 14 cm will have diameter equal to the side of the cube that is 14 cm

So the volume of the sphere

= 4 ÷3 ×pi × r^3

= 4÷3 ×3.142 × 7×7×7

=1,436.94 cm^3

Remaining volume = volume of cube - volume of the sphere

= 14 ×14×14 - 1,436.94

= 2,744 - 1,436.94

=1,307.06 cm^3