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,…

Question

asked Jan 5, 2020 152k views

2 Answers

John Pavek · Answer 1 · 2020-01-09T14:56:23+0000

Answer:

$77.4\ in^3$

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

$\pi =3.14$

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