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.​

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Abigail 1 month 2021-08-14T00:32:46+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-14T00:34:12+00:00

    Answer:

    Height of the cone = 24 cm

    Radius of base =6cm

    So Volume of the cone = (1/3) π r²h cm³

    = (1/3) π×6² × 24 cm³

    = 8π×36 cm³

    = 288π cm³

    Let r be the radius of the sphere

    So the vol of sphere = ( 4/3) π r³

    Volume of sphere=Volume of cone

    So

    ( 4/3) πr³ =288π

    r³ =288 × 3/4

    r³ = 216

    r = 6

    So the required radius of the sphere is 6 cm

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    0
    2021-08-14T00:34:20+00:00

    Answer:

    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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