Question

A cubiod with dimensions 36cm,88cm,98cm is melted and recast into a sphere.Then find the diameter of a sphere ​

Answer 1

Answer:

the diameter of the sphere will be 84 cm

Step-by-step explanation:

When the cuboid is melted into sphere then the volume of the material will remain unchanged.

For cuboid

Given,

L = 36 , B = 88, H = 98 cm

hence volume,

V = L x B x H

=> V = 36 x 88 x 98

=> V = 310464 cm³

For sphere,

Let r be the radius of the sphere then volume,

V = 4πr³/3

=> 310464 = 4/3 x 22/7 x r³

=> r³ = (310464 x 3 x 7)/(22 x 4) = 74088

=> r = 42 cm

=> d = 2r = 2 x 42 = 84 cm

Hence the diameter of the sphere will be 84 cms

Answer 2

Answer:

84cm

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Step-by-step explanation:

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