Question

The largest cone is curved out from one face of solid cube of side 21 cm. Find the volume of the remaining solid.

Answer 1

Answer:

Step-by-step explanation:

SOLUTION :  

Given :  

Side of cube =  7cm

Diameter of cone = Side of cube =  21 cm

Radius of sphere = side of cube/2 = 21/2 = 10.5 cm

Height of cone = Side of cube =  21 cm

Volume of remaining solid = Volume of Cube - Volume of cone

= Side³ - 1/3πr²h

= 21³ - 1/3 × 22/7 × 10.5² × 21

= 9261 - 22 × 10.5 × 10.5  

= 9261 - 2425.5

= 6835.5 cm³

Volume of remaining solid = 6835.5 cm³

Hence, the volume of remaining solid is 6835.5 cm³

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Answer 2

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Side of cube =  7cm

Diameter of cone = Side of cube =  21cm

Radius of sphere = side of cube/2 = 21/2 = 10.5 cm

Height of cone = Side of cube =  21 cm

Volume of remaining solid = Volume of Cube - Volume of cone

= Side³ - 1/3πr²h

= 21³ - 1/3 × 22/7 × 10.5² × 21

= 9261 - 22 × 10.5 × 10.5  

= 9261 - 2425.5

= 6835.5 cm³

Volume of remaining solid = 6835.5 cm³

So see, the volume of remaining solid is 6835.5 cm³