the surface area of a sphere is same as the CSA of a cone having the radius of the base as 150cm and height 360cm. find the radius of the sphere. Please give answer to me.
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Radius of cone= 120cm
height of cone=160 cm
Slant height of cone =√r square +h square
L=√120 square + 160 square
L=√14400+25600
L=√40000
L=200cm
Surface area of sphere= CSA of cone
4πR square = πrl
4R Square = rl
4R square = 120*200
R square = (120*200)/4
R square = 30*200
R square = 6000
R =√6000
R= 77.46cm (approx)
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