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