Question

if the total surface area of a cone of radius 7 cm is 704 cm.square then find its stant height.

Answer 1

Answer:

it's your answer with explain

Answer 2

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 :

${\boxed{\sf{TSA\: of\:cone=\pi\:r(r+l)}}}$

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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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 + bh + lh)