Question

let csa of cone and sphere equal and they are same height h.if the radius of cone is R,then square of h/R

Answer 1

if Height & curved surface area of the cone and sphere are equal then  in cone h²/R = √(R² + h²)

Step-by-step explanation:

Curved Surface Area of Cone = π R√(R² + h²)

Curved Surface Area of Sphere =  4πr²

As they are of same height

=> h = 2r

=> r = h/2

Curved Surface Area of Sphere = 4π(h/2)²  = πh²

π R√(R² + h²) = πh²

=> R√(R² + h²)  = h²

=> h² = R√(R² + h²)

=> h²/R = √(R² + h²)

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