The curved surface area of a right circular cone of radius 7 cm is 220

1.	The curved surface area of a right circular cone of radius 7 cm is 220 cm2. What is the height of the cone? 1. √222. √473. √514. √61
Answer» Correct Answer - Option 3 : √51 Given: Radius of cone = 7 cm Curved surface area of cone = 220 cm² Formula used: Curved surface area of cone = πrl Where, r = radius of cone l = slant height of cone h = height of cone l² = r² + h² Calculation: 220 = π × 7 × l ⇒ l = 220/22 = 10 cm Also, 10² = 7² + h² ⇒ h² = 100 – 49 = 51 ⇒ h = √51 cm ∴ The height of the cone is √51 cm.

The curved surface area of a right circular cone of radius 7 cm is 220 cm2. What is the height of the cone? 1. √222. √473. √514. √61

Answer» Correct Answer - Option 3 : √51

Given:

Radius of cone = 7 cm

Curved surface area of cone = 220 cm²

Formula used:

Curved surface area of cone = πrl

Where, r = radius of cone

l = slant height of cone

h = height of cone

l² = r² + h²

Calculation:

220 = π × 7 × l

⇒ l = 220/22 = 10 cm

Also,

10² = 7² + h²

⇒ h² = 100 – 49 = 51

⇒ h = √51 cm

∴ The height of the cone is √51 cm.

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The curved surface area of a right circular cone of radius 7 cm is 220 cm2. What is the height of the cone? 1. √222. √473. √514. √61

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