Question

If height of the sphere and slant height of the cone are equal.Then find the ratio of their radii, when they have equal surface areas.​

Answer 1

I don't know do u know if yes tell me

Answer 2

Radii of cone =  2 × Radii of sphere

Given:

If height of the sphere and slant height of the cone are equal.

They have equal surface areas.​

To find:

Then find the ratio of their radii.

Formula used:

Surface areas of cone = $\pi$× radii × slant height

Surface areas of sphere = 4 × $\pi$× radii²

Height of sphere = 2 × radii

Hence,

Surface areas of sphere = 2 × $\pi$× radii of sphere × Height of sphere

From given data surface area of cone and sphere are equal

      $\pi$× radii × slant height = 2 × $\pi$× radii of sphere × Height of sphere

Slant height is equal to height of sphere.

Radii of cone =  2 × Radii of sphere

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