Question

find the curved surface area of cone whose height is 12 cm and base radius 5 cm​

Answer 1

Answer:

The curved surface area of the cone will be equal to 204.28 square cm

Step-by-step explanation:

Given, height of cone = 12cm

Base radius = 5 cm

By Pythagoras theorem,

Slant height of cone

l = √{(12)^2 +(5)^2}

l = 13cm

Now , curved surface area of cone

= πrl

=(22/7)×5×13

=1430/7

=204.28 square cm

Answer 2

Given : Cone whose height is 12 cm and base radius 5 cm.

To find : The curved surface area of the cone.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the curved surface area of the given cone)

First of all, we have to calculate the slant height of the cone.

Let, the slant height = x cm

According to the Pythagoras theorem, we get :

(slant height)² = (radius)² + (height)²

x² = (5)² + (12)²

x² = 25 + 144

x² = 169

x = √169

x = 13

So, the slant height of the cone = x cm = 13 cm

And, the curved surface area of the cone :

= π × radius × slant height

= 3.14 × 5 × 13

= 204.1 cm²

(This will be considered as the final result.)

Hence, the curved surface area of the cone is 204.1 cm²