Question
Download Solution PDFThe ratio of radius and slant height of a cone is 5 : 7 respectively. If its curved surface area is 1,760 cm2, find its radius. Take π = 22/7
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The ratio of radius and slant height of a cone = 5 : 7
The curved surface area = 1,760 cm2
Formula used:
Curved surface area (CSA) = πrl
Calculation
Let the radius and slant height of a cone be 5x and 7x.
⇒ πrl = 1760
⇒ 22/7 × 5x × 7x = 1760
⇒ 22/7 × 5x × 7x = 1760
⇒ x2 = 1760/110
⇒ x = 4
⇒ 5x → 5 × 4 = 20
The answer is 20 cm.
Last updated on Jul 8, 2025
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