Question

The surface area of a cone is 314 cm2 . If the radius of the cone is 5cm find its slant height.

Answer 1

Hello Bhumi !

Answer:

15 cm

Step-by-step explanation:

Given :

Surface Area of a Cone = 314 cm²

Radius of the cone = 5 cm

Formula :

Assuming that the cone mentioned in the question is a Right Circular cone,

Total Surface Area of a cone = πr(r + l) units², Where

• r is the radius of the base of the Cone.
• l is the slant Height.

Procedure :

TSA = πr(r + l)

⇒ 314  = π × 5 × (5 + l)

Assuming π = 3.14,

⇒ 100 = 5(5 + l)

⇒ 20 = 5 + l

∴ l = 15 cm

Hence the slant height of the cone is 15 cm.

Thanks !