SOLUTION: what is the surface area of a dome having a base diameter = 4 meters and a height of 2 meters from the center of the base to the tip top of the dome?

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Question 117284: what is the surface area of a dome having a base diameter = 4 meters and a height of 2 meters from the center of the base to the tip top of the dome?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
diameter+=d=+4+m
height=h=+2+m
the surface area A=+2Pi%2Ar%5Bc%5D%2Ah

first find radius of curvature r%5Bc%5D
r%5Bc%5D=%28h%5E2+%2B+%28d%2F2%29%5E2%29%2F%282h%29………....where d%2F2=2m
r%5Bc%5D=%28%282m%29%5E2+%2B+%282m%29%5E2%29%2F%282%2A2m%29

r%5Bc%5D=%284m%5E2+%2B+4m%5E2%29%2F%284m%29

r%5Bc%5D=+8m%5E2+%2F4m%5E1
r%5Bc%5D=+2m%5E%282-1%29
r%5Bc%5D=+2m

Then:

A=+2Pi%2Ar%5Bc%5D%2Ah
A=+2%2A%283.14%29%2A2m%2A2m
A=+8%2A%283.14%29m%5E2
A=+25.12m%5E2