The ratio between the radius and height of a cone is 3:4. what is the curved surface area of the cone?
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The formula for the curved surface area of a cone is :
= πrl
Where r is the radius and l the slant height.
Radius : height = 3 : 4
Let the radius be r then the height is :
4/3r
Slant height is :
r² + (4/3r)² = r² + 16/9r²
Curved surface area :
= πr × (r² + 16/9r²) = πr³ + 16/9πr³
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