Question

What is the lateral area and surface area of the cone shown below?

Answer 1

Lateral Area = 906.3

Surface Area = 461.8

Explanation:

1. Find Values:

Diameter = 14

Radius = 7

Height =
`\sqrt{19^(2)-7^(2) }`=17.7

2. Find Lateral Area:

LA=
`(1)/(3)` * PI *
`r^(2)` * h

LA = 906.3

3. Find Surface Area:

SA = PI * r * slant height + (2 * PI * r)

SA = 461.8