Questions on Geometry: Bodies in space, right solid, cylinder, sphere answered by real tutors!

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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?: 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(1160) 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*r[c]*h

first find radius of curvature r[c]
r[c]=(h^2 + (d/2)^2)/(2h)………....where d/2=2m
r[c]=((2m)^2 + (2m)^2)/(2*2m)

r[c]=(4m^2 + 4m^2)/(4m)

r[c]= 8m^2 /4m^1
r[c]= 2m^(2-1)
r[c]= 2m

Then:

A= 2Pi*r[c]*h
A= 2*(3.14)*2m*2m
A= 8*(3.14)m^2
A= 25.12m^2