The radius and height of a right circular cone are in the ratio 4:3. If the area of the base is 154 sq cm, find the area of its curved surface area.
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the radius and height are in ratio of 4:3
let radius as 4x
and height as 3x
area of bese of cone is circle so its formula is πr²
πr²=154
r²=154×7÷22
r²=49
r=7
r=4x =4×7=28
h=3x=3×7=21
to find c.s.a we need slant height
l=√r²+h²
l=√28²+21²
l=√1225
l=35
curved surface area of cone is πrl
22÷7×28×35
=3080
let radius as 4x
and height as 3x
area of bese of cone is circle so its formula is πr²
πr²=154
r²=154×7÷22
r²=49
r=7
r=4x =4×7=28
h=3x=3×7=21
to find c.s.a we need slant height
l=√r²+h²
l=√28²+21²
l=√1225
l=35
curved surface area of cone is πrl
22÷7×28×35
=3080
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