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-BARSIC- [3]
3 years ago
12

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.

Mathematics
1 answer:
Sophie [7]3 years ago
5 0

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

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