Krishna
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Step 1: Note down the given values

Curved surface area =   \pi r l = 4070 cm^2

Diameter   D = 70 cm

Radius       R = \frac{D}{2} = \frac{70}{2} = 35 cm

Slant height l = ?

Step 2: Find out the slant height of a cone

Curved surface area \pi r l = 4070

\frac{22}{7} * 35 * l = 4070          \because \pi = \frac{22}{7} = 3.14

22 * 7 * l = 4070

l = \frac{4070}{22*7}

l = 37 cm

Hence, slant height of cone l = 37 cm