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A cylindrical cup with a radius of 2 in. and a height of 3 in. is full of ice cream. A cone with a radius of 1.5 in. and a height of 6 in. i
Question
A cylindrical cup with a radius of 2 in. and a height of 3 in. is full of ice cream. A cone with a radius of 1.5 in. and a height of 6 in. is full of ice cream.
Which holds more ice cream and about how much more ice cream?
The cup holds about 38 in.3 more ice cream than the cone.
The cup holds about 24 in.³ more ice cream than the cone.
The cone holds about 14 in.3 more ice cream than the cup.
The cone holds about 8 in.3 more ice cream than the cup.
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Mathematics
4 years
2021-07-26T09:04:16+00:00
2021-07-26T09:04:16+00:00 1 Answers
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Answer:
The cup holds about 24 in.³ more ice cream than the cone.
Step-by-step explanation:
cylinder V = πr²h
V = π2²3 = 12π in³
cone V = πr²h/3
V = π1.5²6/3 = 4.5π in³
12π = 4.5π = 7.5π = 23.56194… in³ more