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Question
The radius and height of cone are in the ratio 3 : 4. If its volume is 301.44 cm3. What is its radius? What is its slant height? (Take π = 3.14)
Solution
Let the radius of cone be 3x cm and the height 4x cm, then
Volume of cone = `1/3`πr2h
⇒ `1/3` π (3x)2 (4x) = 301.44
⇒ x3 = 8
⇒ x = 2
Thus, radius of cone is 6 cm and height 8 cm.
Now,
slant height of cone = `sqrt( (6)^2 + (8)^2)` = 10 cm.
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