A solid metallic sphere of diameter 21 cm is melted and recast it into a number of smaller cones each diameter 7 cm and height 3 cm find the number of cones can be made from this metallic sphere.
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Hello here is your answer
let the number of cones be n
so
n× volume of 1 cone= volume of sphere
n× 1/3 π r^2 h=4/3πr^3
by putting value of these
n×1/3×22/7×7/2×7/2×3=4/3×22/7×21/2×21/2×21/2
n×77/2=4851
n=4851×2/77
n=9702/77
n=126
let the number of cones be n
so
n× volume of 1 cone= volume of sphere
n× 1/3 π r^2 h=4/3πr^3
by putting value of these
n×1/3×22/7×7/2×7/2×3=4/3×22/7×21/2×21/2×21/2
n×77/2=4851
n=4851×2/77
n=9702/77
n=126
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