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Question
Find the curved surface area of a right circular cone whose height is 15 cm and base radius is 8 cm. tan β = `3/4`.
Solution
Given, height of cone, h = 15 cm
Base radius of cone, r = 8 cm
∴ Slant height of cone, l = `sqrt(h^2 + r^2)`
= `sqrt((15)^2 + (8)^2)`
= `sqrt(225 + 64)`
= `sqrt(289)`
= 17 cm
Now, curved surface area of cone = πrl
= `22/8 xx 8 xx 17`
= `2992/7`
= 427.429 cm2
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