Question

The curved surface area of a cone is 4070 sq cm and its diameter is 70 cm. What is its slant height.

Answer 1

Answer:slant height = 37cm

Step-by-step explanation:

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Answer 2

Answer:

• The required slant height = 37 cm

Given:

• The curved surface area of a cone is 4070 sq cm and its diameter is 70 cm.

Need to find:

• The required slant height = ?

Solution:

Diameter of cone = 70cm

Radius of cone = diameter/2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 70/2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 35cm

• Let the slant height be 'l'.

Formula used here:

• Curved surface area of cone = πrl

Putting the values:

➪ πrl = 4070

➜ 22/7 × 35 × l = 4070

➜ 22 × 5 l = 4070

➜ 110 l = 4070

➜ l = 4070/110

➜ l = 37 cm

Therefore:

• The required slant height is 37 cm.

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