ICSE Class 10CISCE
Share
Notifications

View all notifications

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

Login
Create free account


      Forgot password?

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.
S
View in app×