Question

Which has a greater volume; two regular cans of soup, each with a diameter of 8 cm and a height of 10 cm or one family size can of soup, which has a diameter of 10 cm and a heigh if 12 can? Explain and give your calculations.

Answer 1

Answer:

The two regular cans of soup has a greater volume than the family size can of soup

Step-by-step explanation:

step 1

Find the volume of two regular cans of soup, each with a diameter of 8 cm and a height of 10 cm

The volume is equal to

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

we have

$r=8/2=4\ cm$ ----> the radius is half the diameter

$h=10\ cm$

substitute

$V=2[\pi (4)^{2} (10)]$

$V=320\pi\ cm^{3}$

step 2

Find the volume of one family can of soup, with a diameter of 10 cm and a height of 12 cm

The volume is equal to

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

we have

$r=10/2=5\ cm$ ----> the radius is half the diameter

$h=12\ cm$

substitute

$V=\pi (5)^{2} (12)$

$V=300\pi\ cm^{3}$

therefore

Compare the volumes

$320\pi\ cm^{3} > 300\pi\ cm^{3}$

The two regular cans of soup has a greater volume than the family size can of soup