SOLUTION: An aquarium wants to install a new fish tank with a parabolic glass dome fitted at its bottom to allow visitors to look at the marine life from below. The glass dome will be 60 fee

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Question 1180206: An aquarium wants to install a new fish tank with a parabolic glass dome fitted at its bottom to allow visitors to look at the marine life from below. The glass dome will be 60 feet in diameter and will have a depth of 4 feet. Find the equation of the parabolic cross-section of the dome.
a. y^2=16/30x
b. y^2=4/15x
c. y=1/225x^2
d. y=15/14x^2
e. y=1/15x^2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

standard equation of parabola
4ay+=+x%5E2
putting y+=+4 and x+=+30 in above equation we get
4%2Aa%2A4+=+30%5E2
16a+=+900
a+=+900%2F16
a+=+225%2F4
so, the parabola equation is
4%28225%2F4%29y+=+x%5E2
225y+=+x%5E2
y+=+x%5E2%2F225
y+=+%281%2F225%29x%5E2

answer: c.+y=%281%2F225%29x%5E2