The beach ball can hold 37.15 cubic feet of air
<u>Solution:</u>
Given that the beach ball has a diameter of 4.14 feet
We are asked to find how much air can fill the ball. This means that we have to find the volume of the ball
<em><u>Finding volume of ball:</u></em>
Given diameter = 4.14 feet
We know that radius is half of diameter


Since ball is a sphere, Volume of sphere is given as:

By substituting the value of radius we get,

Hence the beach ball can hold 37.15 cubic feet of air

Use the product rule first:


Use the chain rule to compute the derivative of
. Let
and take
, so that by the chain rule




So we have

You can rewrite this a bit by factoring
, just to make it look neater:

An equation must contain an equals sign. That means answer A is the only one that is an equation.
Hope this helps!!
Hello!
Let's write this as a system of equations.
L=3w
wL=432
Let's plug in our value for L into the second equation, and solve for w.
w(3w)=432
3w²=432
w²=144
w=12
Now, let's plug our w value into the first equation.
L=3(12)
L=36
Therefore, the length is 36 and the width is 12.
I hope this helps!