Paul is making donuts to bring to his family reunion. He makes 12 donuts, each with a circumference of 9. The donuts are placed in a box, 3 donuts by 4 donuts. The box is 1.5 inches tall.

What are the dimensions of the box?



Answer :

Answer:

[tex]\frac{27}{\pi } , \frac{36}{\pi } , 1.5[/tex]  all in inches.

Step-by-step explanation:

1. We try to find the radius of the donuts using the formula for circumference,[tex]\begin{equation*}\fbox{\parbox{\dimexpr\linewidth-2\fboxsep-2\fboxrule}{In this formula: \( C \) represents the circumference, \( \pi \) represents the mathematical constant pi (approximately 3.14159), and \( r \) represents the radius of the circle. \[ C = 2 \pi r \]}}\end{equation*}[/tex]

Now if we plug in 9 for C and divide by 2[tex]\pi[/tex]   , [tex]\frac{9}{2\pi }= r\\[/tex], we now know the radius.

2. Using the radius we can deduce the diameter which is twice the radius so [tex]d = \frac{9}{\pi }[/tex]

3. Now we find the dimensions, three donuts across is three time the diameter and four donuts wide is four times the diameter and we already know the height.

[tex]\frac{27}{\pi } , \frac{36}{\pi } , 1.5[/tex]  all in inches.