Question

A box is packed with 18 cans of cola. The radius of the base of one can of cola is 1 inch, and the height is 5 inches. The length of the box is 12 inches, the width is 6 inches, and the height is 5 inches. In cubic inches, how much empty space is left inside the box?

Answer 1

Answer:

$77.4\ in^3$

Step-by-step explanation:

we know that

To find out how much empty space is left inside the box, subtract the volume of 18 cans of cola from the volume of the box

step 1

Find the volume of the box

The volume of the box is equal to

$V=LWH$

substitute the given values

$V=(12)(6)(5)$

$V=360\ in^3$

step 2

Find the volume of the can of cola

The volume of a cylinder is equal to

$V=\pi r^{2} h$

we have

$r=1\ in$

$h=5\ in$

substitute

$V=\pi (1)^{2} (5)$

$V=5\pi\ in^3$

Multiply by 18 (18 cans of cola)

$V=(18)5\pi=90\pi\ in^3$

step 3

Find how much empty space is left inside the box

$V=(360-90\pi)\ in^3$ ---> exact value

assume

$\pi =3.14$

$V=360-90(3.14)=77.4\ in^3$