## Find the volume of a right circular cone, the diameter of whose base is 14cm and the area of curved surface is 550cm squared

Question

Find the volume of a right circular cone, the diameter of whose base is 14cm and the area of curved surface is 550cm squared

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1 day 2021-11-23T00:12:01+00:00 2 Answers 0 views 0

1. Answer- The above question is from the chapter ‘Surface Areas and Volumes’.

Concept used: For a right circular cone,

1) Curved surface area (C.S.A.) = πrl

2) Volume = 3) Diameter = 2 × Radius

4)  Here, r = radius of cone

l = slant height of cone

h = height of cone

Given question: Find the volume of a right circular cone, the diameter of whose base is 14 cm and the area of curved surface is 550 cm².

Solution: For a right circular cone,

Diameter (d) = 14 cm

Radius (r) = d ÷ 2 = 14 ÷ 2 = 7 cm

Curved surface area (C.S.A.) = πrl

550 = πrl  l = 25 cm      h = 24 cm

Volume = Volume = Volume = Volume = 1232 cm³

## ∴ Required volume of right circular cone = 1232 cm³.

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