Find the surface area of the cone in terms of .
15 cm
3 cm

Question:

What is the surface area of a cone using pi for 15cm for height and 3 cm for radius?

The surface area of a cone = 172.1034

Step-by-step explanation:

Given:

Height of the cone = 15 cm

Radius of the cone = 3 cm

To Find:

Surface area of a cone =?

Solution:

The surface area of a cone

=> curved surface area + the area of the base

=> ------------------------------------------------(1)

where

r denotes the radius of the base of the cone, and

L denotes the slant height of the cone.

The curved surface area is also called the lateral area.

Let us first find the slant height:

Substituting the values in (1)

=>

=>

=>

=>

=>

=>

=> 172.1034

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

step-by-step explanation: