kaitlyn1838
kaitlyn1838 kaitlyn1838
  • 09-04-2022
  • Mathematics
contestada

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

What is the lateral area and surface area of the cone shown below class=

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JackLeRipper JackLeRipper
  • 09-04-2022

Answer:

Lateral Area = 906.3

Surface Area = 461.8

Step-by-step explanation:

1. Find Values:

Diameter = 14

Radius = 7

Height = [tex]\sqrt{19^{2}-7^{2} }[/tex]=17.7

2. Find Lateral Area:

LA= [tex]\frac{1}{3}[/tex] * PI * [tex]r^{2}[/tex] * h

LA = 906.3

3. Find Surface Area:

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

SA =  461.8

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