Question

An acquarium wants install a new fish tank with a parabolic glass dome fitted at its bottom to allow visitors to look at marine life from below. The glass domw will be 60 feet in diameter and will have depth of 4 feet. Find the equation of parabolic cross section of dome

Answer 1

Answer:

Step-by-step explanation:

standard equation of parabola y^2 = 4*a*x

putting y = 4 and x = 30 inn above equation

we get a = 4/30

so, the parabola equation is y^2 = 16/30*x

Answer 2

Concept introduction:

A parabola's general equation is either $y = a(x-h)^{2} +k$  or $x = a(y-k)^{2} + h$, where (h,k) signifies the vertex. $y^{2} = 4ax$ is the typical equation for a normal parabola.

Explanation:

Given that, the glass dome will be $60$ feet in diameter and will have depth of $4$ feet.

We have to find, equation of parabolic cross section of dome.

According to the question,

Standard equation of parabola  $y^{2} = 4ax$

putting $y = 4$ and $x = 30$ in above equation

we get $a = 4/30$

so, the parabola equation is $y^{2} = 16/30*x$.

Final Answer:

The equation of dome will be  $y^{2} = 16/30*x$.

#SPJ2