Question

20. Fine the volume of the largest right circular cone that can be carved out of a cuboid measuring 7cm x 7cm x 21 cm. Also find the volume of the remaining solid (give the answer to the nearest cm^3)​

Answer 1

Answer

Volume will be 269.5 cm³

Given

==>

Dimensions of cuboid = 7 cm × 7 cm × 21 cm (. i.e l×b × h)

Solution

The height of cone will be equal to that of the cuboid = 21 cm

Radius of cone = 7/2 cm

Hence, volume of cone

Volume = 1/3 πr²h

Calculation

→ (1/3)(22/7)(7/2)²(21)

→ 7×7×11/2

→ 49×11/2

→ 539/ 2

→ 269.5 cm³

So required volume of the cone will be 269.5 cm³