#### Question

The curved surface area of a cone is 12320 cm2. If the radius of its base is 56 cm, find its height.

#### Solution

Curved surface area =` 12320 cm^2`

Radius of base (r) = 56 cm

Let slant height = ℓ

`∴ pirl=12320`

`⇒ 22/7xx56xxl=12320`

⇒ `l=(12320xx7)/(56xx22)`

⇒l=70 cm

Height of the cone =

`= sqrt(l^2-r^2)`

`= sqrt((70)^2-(56)^2 `

`=sqrt(4900-3136)`

`=sqrt1764`

= 42 cm

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Solution The Curved Surface Area of a Cone is 12320 Cm2. If the Radius of Its Base is 56 Cm, Find Its Height. Concept: Area and Volume of Solids - Cone.