Question

Let curved surface area of the cone and sphere are
equal and they are of same height h. If the radius of
h²
cone is R, then
equals
(1) ſh+R?
(2) √n²+R?
(3)
(3
+R
(4) √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)