Question

The curved surface area of a cone is 4070 cm2 and its diameter is 70 cm. What is its slant height? (Use it 𝜋 = 22/7).

Answer 1

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