Answers

  • Brainly User
2014-02-27T12:30:53+05:30
Let R be the radius of the sphere.
Suppose the radius of cone be r and h respectively.
Surface area of the sphere = 4πR2 = 4π (5 cm)2 = 100π cm2
Curved surface area of cone = πrl = π × 4 cm × = 4πl
Given, Surface area of the sphere = 5 × Curved surface area of the cone
∴ 100π cm2 = 5 × 4π l cm
⇒ 100π cm2 = 20πl cm
⇒ l = 5 cm
Slant height of the cone,
 
∴ (4 cm)2 + h 2 = (5 cm)2
⇒ h 2 = 25 cm2 – 16 cm2
⇒ h 2 = 9 cm2
⇒ h = 3 cm
Height of the cone, h = 3 cm
∴ Volume of the cone  

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