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Kari and Darius have two cylindrical cups to drink

juice from
Kari's cup is 8 inches tall and has a diameter of 3
inches.
Darius's cup has a diameter of 4 inches and is 5
inches tall.
Each believe their cup can hold more juice.
Which cup holds more juice?
How much more juice can the larger cup hold?

1 Answer

4 votes

Answer: Kari's cup can hold more juice

She holds 6.28 inches^3 more than Darius's cup.

Explanation:

1: Find the volume that both cylinders hold:

Kari:

V=πr2h=π·1.52·8≈56.54867

Volume is about 56.55 inches^3

Darius:

V=πr2h=π·22·4≈50.26548

Volume is about 50.27 inches^3

2: Subtract both values:

56.55-50.27=6.28

3: Make your statement:

Kari's cup can hold more juice

She holds 6.28 inches^3 more than Darius's cup.

User DollarChills
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