A cone of hieght 24cm and radius of base 6cm is made up of modelling clay. A child reshapes it in the form of a sphere. Find the radius of the sphere and hence find tbe surface area of this sphere.
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radiu of sphere=6
surface area=452.16
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sushitlipun:
Can u answer my other two questions?
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height of cone, h = 24cm
radius of base of cone, r = 6cm
a/c to question, reshapes cone in the form of a sphere.
Let radius of sphere is R.
e.g., volume of cone = volume of sphere
1/3 πr²h = 4/3 πR³
or, r²h = 4R³
or, 6 × 6 × 24 = 4 × R³
or, 6 × 6 × 6 = R³ => R = 6cm
hence, radius of the sphere , R = 6cm
surface area of sphere = 4πR²
= 4 × 22/7 × 6 × 6
= 144 × 22/7 cm²
= 452.57 cm²
radius of base of cone, r = 6cm
a/c to question, reshapes cone in the form of a sphere.
Let radius of sphere is R.
e.g., volume of cone = volume of sphere
1/3 πr²h = 4/3 πR³
or, r²h = 4R³
or, 6 × 6 × 24 = 4 × R³
or, 6 × 6 × 6 = R³ => R = 6cm
hence, radius of the sphere , R = 6cm
surface area of sphere = 4πR²
= 4 × 22/7 × 6 × 6
= 144 × 22/7 cm²
= 452.57 cm²
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