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?

Kari's cup can hold more juice

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

Step-by-step 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.

took the test it's 94

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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