Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3000/3 Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3000/3 π in∧3.
One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping.
(a) One cup has a diameter of 5 in. and a height of 6 in. How many cups of water must Carissa 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 she 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.
One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping.
(a) One cup has a diameter of 5 in. and a height of 6 in. How many cups of water must Carissa 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 she 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
1
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Answer
5
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ml5916
1 year ago
17 response - 0 helps
Answer:
(a) Volume of 1st cup = (1/3)pi *(4/2)^2 * 8 = 32/3 pi in^3
scoops = (2000/3)pi / ( 32/3) pi = 2000/32 = 62.5 ≈ 63
(b) Volume of 2nd cup = (1/3)pi *(8/2)^2 * 8 = 128/3 pi in^3
scoops = (2000/3)pi / ( 128/3) pi = 2000/128 = 15.625 ≈ 16
I would go with the second one
it goes better with the sink
good luck
Step-by-step explanation:
Answer:
(a) Volume of 1st cup = (1/3)pi *(4/2)^2 * 8 = 32/3 pi in^3
# scoops = (2000/3)pi / ( 32/3) pi = 2000/32 = 62.5 ≈ 63
(b) Volume of 2nd cup = (1/3)pi *(8/2)^2 * 8 = 128/3 pi in^3
# scoops = (2000/3)pi / ( 128/3) pi = 2000/128 = 15.625 ≈ 16
Use the second one........!!!!
Step-by-step explanation: