Math, asked by Genious96, 11 months ago

late curved surface area of the cone and sphere are equal and they are of same height as h if the radius of cone is r then h square divided by r =

Answers

Answered by amitnrw
0

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)

https://brainly.in/question/13121407

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