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A cone of height 24 em and radius of base 6 cm is made up of modelling clay, A child moulds it in the form of a sphere. Find

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A cone of height 24 em and radius of base 6 cm is made up of modelling clay, A child moulds it in the form of a sphere. Find

Question

A cone of height 24 em and radius of base 6 cm is made up of modelling clay, A child moulds it in the form of a sphere. Find the radius of the sphere.

## Answers ( )

Answer:Height ofthecone=24cmRadiusofbase=6cmSoVolumeofthecone=(1/3)πr²hcm³=(1/3)π×6²×24cm³=8π×36cm³=288πcm³Letrbe theradius ofthesphereSothe vol ofsphere=(4/3)πr³Volumeof sphere=Volumeof coneSo(4/3) πr³=288π➙r³ =288×3/4➙r³ =216➙r=6Sothe requiredradius of thesphereis6cmPleaseMarkitBrainlistAnswer:

Step-by-step explanation:

Height of cone=24

Radius=6cm

Vol of cone=1/3πr^2h

=1/3π*6^2*24

=1/3π*36*24

=288πcm^3

Let the vol of sphere4/3π^3

Vol of sphere=Vol of cone

4/3π^3=288π

4/3^3=288

r^3=288*3/4

r^3=72*3

r^3=8*9*3

r^3=(2*2*2*3*3*3)

r=(2*2*2*3*3*3)1/3

r=(2*2*2)1/3 * (3*3*3)1/3

r=(2^3)1/3 * (3^3)1/3

r=2*3

r=6cm

Therefore the radius if circle is 6cm

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