Anthony has a sink that is shaped like a half-sphere. The sink has a volume of 3000/3 π in∧3. One day, his sink clogged. He has to use one of two cylindrical cups to scoop the water out of the sink. The sink is completely
full when Anthony begins scooping.
(a) One cup has a diameter of 5 in. and a height of 6 in. How many cups of water must Anthony scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. Show all your work.
(b) One cup has a diameter of 6 in. and a height of 6 in. How many cups of water must he scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. Show all your work.
full when Anthony begins scooping.
(a) One cup has a diameter of 5 in. and a height of 6 in. How many cups of water must Anthony scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. Show all your work.
(b) One cup has a diameter of 6 in. and a height of 6 in. How many cups of water must he scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. Show all your work.
Answer
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Answer:
Volume of cylinder cup = pi r^2 h = pi 2^2 8 = 32 pi in^3
volume of sink/volume of cup = number of cups
2000/(3pi) / 32 pi = 2 scoops
If you meant the volume is pi *2000/3 then pi* 2000/3 / 32 pi = 21 scoops
Step-by-step explanation: