Answer:
The dimensions of the box are 38.48 x 14.48 x 5.26 in.
Step-by-step explanation:
We will have a piece of cardboard with squares of side x cut from the corners to make a open box.
The volume of the box can be written as:
To calculate the maximum volume, we derive and equal to zero
We apply the quadratic equation to know the roots of the equation
The first solution is physically impossible, as the side that is cut would be bigger than 25.
So the real solution is for x=5.26 in.
Then, the dimensions of the box are:
Answer:
The answer is option b.
<h2>144π</h2>
Step-by-step explanation:
Surface area of a sphere is 4πr²
where r is the radius
diameter = radius / 2
<h3>
<u>For Big </u><u>sph</u><u>ere</u></h3>
radius = 15 / 2 = 7.5in
Surface area = 4π(7.5)²
= 225π
<h3><u>Small </u><u>sph</u><u>ere</u></h3>
radius = 9/2 = 4.5in
Surface area = 4π(4.5)²
= 81π
Difference of the surface areas is
Surface area of big sphere - surface area of small sphere
Which is
225π - 81π
<h3>= 144π</h3>
Hope this helps you.
Answer:The answer can be simplify by the following steps;
Step-by-step explanation:
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