A cone of height 20cm and radius of base 5cm is made up of modelling clay. A child reshapes it in the form of the sphere. Find the diameter of the sphere
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diameter of sphere is 10 cm
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Given
height of cone = 20 cm
radius of base = 5 cm
To Find = diameter of the sphere
volume of the cone = 1/3*pie*r^2*h
=1/3*22/7*5*5*20
=523.81 cm (approx)
so,
volume of the cone = volume of the sphere
523.81 cm = 4/3*pie*r^3
523.81 = 4/3*22/7*r^3
523.81*3*7/4*22 = r^3
2000.01 = r^3
43.73 cm = r
therefor the radius of the sphere is 43.73 (approx)
height of cone = 20 cm
radius of base = 5 cm
To Find = diameter of the sphere
volume of the cone = 1/3*pie*r^2*h
=1/3*22/7*5*5*20
=523.81 cm (approx)
so,
volume of the cone = volume of the sphere
523.81 cm = 4/3*pie*r^3
523.81 = 4/3*22/7*r^3
523.81*3*7/4*22 = r^3
2000.01 = r^3
43.73 cm = r
therefor the radius of the sphere is 43.73 (approx)
Harshagun:
hope it help you
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