SOLUTION: A new hotel design includes a glass-enclosed cylindrical elevator. A scale model of the elevator is 1 foot high. The actual elevator will be 100 feet tall and 10 feet in diameter

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Question 143957: A new hotel design includes a glass-enclosed cylindrical elevator. A scale model of the elevator is 1 foot high. The actual elevator will be 100 feet tall and 10 feet in diameter. What is the approximate area of a base of the model elevator? Round your answer to the nearest tenth inch.
Answer by vleith(2517) About Me  (Show Source):
You can put this solution on YOUR website!
Use ratios to find the diameter of the model.
1%2F100+=+x%2F10
0.1+=+x
The model diameter is .1
Area of a circle is A+=+pi%2Ar%5E2
d+=+2r
r+=+d%2F2
A+=+pi%2A%28d%2F2%29%5E2+
A+=+pi%2A+%28.05%29%5E2
A+=+0.007853975+ft%5E2%7D%0D%0A%0D%0Ai+square+foot+=+144+square+inches%0D%0A%7B%7B%7BA+=+1.1309+square+inches
rounded to nearest tenth inch = 1.1square inches