A sphere has the same curved surface area as a cone of vertical height 40 cm and radius 30 cm. the radius of the sphere is
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area of sphere = 4πr²
curved surface area of cone = πrl
r of cone = 30cm
h of cone = 40cm
l=√(r² + h²)
l=√(900+1600) = √(2500)
l= 50cm
4πr² = πrl
4r² = rl
= 4r² = 1500
r² = 1500/4
= r² = 375
r= √375
= 19.36
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