Question

a solid metallic cuboid of dimensions 24 cm× 11 cm× 7 cm is melted and recast into solid cones of base radius 3.5 cm and height 6 cm find numbers of cones so formed​

Answer 1

Step-by-step explanation:

volume of cuboid = 24.11.7.

Answer 2

Given,

Dimensions of cuboid = 24cm × 11cm × 7cm

Base radius of cone = 3.5 cm

Height = 6 cm

To find,

Number of smaller cones that can be made from bigger cuboid.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Volume of cuboid = (24×11×7) = 1848 cm³

Volume of cone = ⅓ × 22/7 × (3.5)² × 6 = 1617/21 = 77 cm³

Number of cones = Volume of cuboid / Volume of cone = 1848/77 = 24

Hence, 24 smaller cones can be made.