Question

The curved surface area of a cone of slant height x/2 is πrx. Find its base area

Answer 1

Answer:

x/2=πrx

r=2/π

r=2×7/22

r=7/11

Answer 2

Given : The curved surface area of a cone of slant height x/2 is πrx.

To find : The base area.

Solution :

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

We know that,

Curved surface area of a cone = π × radius × slant height

By, putting the available data in the above mentioned mathematical formula, we get :

πrx = π × radius × (x/2)

π × radius × (x/2) = πrx

π × radius × (x/2) = π × r × x

radius × (x/2) = r × x

radius = r × x × (2/x)

radius = 2r

Now, the base area of the cone :

= π × (2r)²

= π × 4r²

= 4πr²

(This will be considered as the final result.)

Hence, the base area is 4πr²