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# The Curved Surface Area of a Cone is 12320 Cm2. If the Radius of Its Base is 56 Cm, Find Its Height. - ICSE Class 10 - Mathematics

ConceptArea and Volume of Solids - Cone

#### 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

Is there an error in this question or solution?

#### APPEARS IN

Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2020 to Current)
Chapter 20: Cylinder, Cone and Sphere
Exercise 20(B) | Q: 2 | Page no. 303
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.
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