Question

The curved surface area of a cone is 4070 cm^2 and its diameter is 70 cm. What is its slant height?​

Answer 1

Answer:

37 cm

Explanation:

radius = diameter/2

r = 70/2

r = 35 cm

curved surface area = πrl

4070 = 22/7 * 35 * l

l = 4070 * 7 / 22 * 35

l = 37 cm

Answer 2

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↝ Diameter of a cone = 70 cm

↝ Radius = 70 / 2 cm = 35 cm

↝Curved surface area of cone = 4070 cm^ 2.

↝π r l = 4070 cm ^ 2

↝ 22 / 7 ( 70 / 2 ) length = 4070 cm

↝22 / 7 ( 35 ) = 4070 cm ^ 2

↝ Length = 4070 × 7 / 22 × 35 cm

↝Length = 37 cm.

Hence, Slant height = 37 cm

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