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Question
The curved surface area of a cone is 4070 cm2 and its diameter is 70 cm. What is its slant height? (Use it ๐ = 22/7).
Solution
Given diameter= 70 cm
⇒ 2r = 70 cm
⇒ r=35cm
Now, curved surface area = `4070cm^2`
⇒ `pirl=4070`
Where r=radius of the cone
l=slant height of the cone
∴ `pirl=4070`
⇒ `22/7xx35xxl=4070`
⇒`l=(4070xx7)/(22xx35)=37cm`
∴ Slant height of the cone= 37 cm
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