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The surface area of sphere of …

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The surface area of sphere of radius 5cm is 5 times the curved surface area of cone of radius 4cm find the height and volume of cone
  • 2 answers

Yash Lohchab 4 years, 10 months ago

Height=3cmm Volume=352/7cm^3

Yogita Ingle 4 years, 10 months ago

Surface area of the sphere=(4π×5×5) cm²
= (100π) cm².

Curved surface area of the cone=(π×4×l) cm²
=(4πl) cm²

∴ 100π=5×(4πl) ⇒ l=5 cm.
Now, l² = h² + r²
5²= h² + 4²
h²= 9 
h= 3 cm.

Volume of cone = 1/3  πr2h

= 1/3 × 22/7 × (4)2 × 3

= 22/7 × 16

= 50.29cm2

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