If the total surface area of a cone of radius 7cm is 704 cm2
, then find its slant height
Answers
Answer:
Slant height of the cone is 25 cm.
Step-by-step explanation:
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
Formula used :
{\boxed{\sf{TSA\: of\:cone=\pi\:r(r+l)}}}
TSAofcone=πr(r+l)
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.
________________
Additional information :-
Volume of cylinder = πr²h
T.S.A of cylinder = 2πrh + 2πr²
Volume of cone = ⅓ πr²h
C.S.A of cone = πrl
T.S.A of cone = πrl + πr²
Volume of cuboid = l × b × h
C.S.A of cuboid = 2(l + b)h
T.S.A of cuboid = 2(lb + bhSlant height of the cone is 25 cm.
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