If the total surface area of a cone of radius 7cm is 704 cm2 , then find its slant height About the author Kylie

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. i hope it will help you plz Mark us brainlist answer Reply

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.

i hope it will help you

plz Mark us brainlist answer