Question

A child converts a cone of soil whose height is 24 cm and the diameter of
the base 12 cm into a sphere. Find the radius of this sphere.​

Answer 1

Step-by-step explanation:

Given that, the child reshapes cone with a sphere.

So, the volume of sphere=Volume of cone.

Height of cone h=24cm and radius of cone r=6cm

⇒ 4/3 πr^3= 1/3πr^2h

⇒ 4/3r3= 1/3×6^2 ×24

⇒r^3= 1/4 ×864cm^3

⇒r=(3×72)^1/3

⇒r=(2)^3×(3 ) ^1/3

∴r=6cm

Hence,radius of the sphere=6cm

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