Question

If the total surface area of a cone of radius 7cm is 704 cm, then find its slant height.
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Answer 1

Answer:

Slant height of the cone is 25 cm.

Step-by-step explanation:

Slant height of the cone is 25 cm. The total surface area of a cone of radius 7 cm is 704 cm².

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Answer 2

Given :-

• The total surface area of a cone of radius 7 cm is 704 cm².

To Find :-

• The slant height.

Solution :-

Let the slant height of the cone is l cm.

Radius = 7 cm

According to the question,

πr(r+l) = 704

→ (22/7) ×7 (7+l) = 704

→ 22(7+l) = 704

→ 7+l = 704/22

→ 7+l = 32

→ l = 32-7

→ l = 25

Therefore, the slant height of the cone is 25 cm.