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
Algebra.Com
Question 1180068: 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 greenestamps(13203) (Show Source): You can put this solution on YOUR website!
Good luck having a wall of an aquarium with a cross section in the shape of a parabola of the form y^2=ax....!
We can quickly eliminate answer choices a. and b.
Consider the vertex of the parabolic cross section to be at (0,0). Then, since the dome has a depth of 4 feet and a width of 60 feet, the parabolic function must have the value 4 at x values of 30 and -30.
Use the general form of the equation of a parabola with vertex at the origin to quickly find the answer to the problem.
There is little work left to do from there....
RELATED QUESTIONS
An aquarium wants to install a new fish tank with a parabolic glass dome fitted at its... (answered by MathLover1)
An aquarium tank is a rectangular prism that holds approximately 5760 cubic inches of... (answered by richwmiller)
How many square centimeters of glass does it take to make the bottom and sides of a... (answered by Alan3354)
How much glass needed to construct a hexagonal (6-sided) fish tank?the tank is 4 feet... (answered by Alan3354)
A fish tank of dimension 40cm*40cm*50cm(depth) is filled with water to a depth of... (answered by Alan3354)
A fish Tank has a length of 50cm, a breadth of 20cm and a height of 30cm.
a) How many... (answered by addingup,ankor@dixie-net.com)
The length and width of the rectangular bottom of Sabrina's new fish tank is twice the... (answered by Alan3354)
Billy just bought a new aquarium for his goldfish, Baxter. The aquarium is 10 inches... (answered by josgarithmetic,Cromlix)
The Norman window with dimensions as shown is a rectangle topped by a semicircle. If the (answered by ankor@dixie-net.com)