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

If the total surface area of a cone of radius 7cm is 704 cm2

, then find its slant height​

### 1 thought on “If the total surface area of a cone of radius 7cm is 704 cm2<br /><br />, then find its slant height​”

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.

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.

________________

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.