Question

The radius of a cone is equal to the radius of a cylinder . If the slant height of the cone is equal to the height of the cylinder and the height of the cone is equal to its radius, then find the ratio of the total surface area of the cylinder to the curved surface area of the cone

Answer 1

Answer:

T.S.A of Cylinder/ C.S.A of cone

2πr(r+h)/πrl

2(r+h)/l

Calculate Slant height as

l^2 = h^2+ r^2

l = √2 r^2

l= √2r

Take ratio

2(r+h)/l

2r + √2r/ √2r

(√2+1) :1

Answer 2

let radius of cone be r

therefore radius of cylinder is also equal to r

let slant height of cone equal to L

therefore height of cylinder is also equal to L

therefore ratio of the total surface area of the cylinder to the curved surface area of cone is equal to