Micheal has a sink that is shaped like a half-sphere. the sink has a volume of 3000/3π in^3. one day, his sink is clogged. he has to use one of two cylindrical cups to scoop the water out of the sink. the sink is completely full when micheal begins scooping.

a) one cup has a diameter of 6 in and a height of 8 in. how many cups of water must micheal scoop out of the sink with this cup to empty it? round the number of scoops to the nearest whole number.

b) one cup has a diameter of 10 in and a height of 8 in. how many cups of water must micheal scoop out of the sink with this cup to empty it? round the number of scoops to the nearest whole number.

A is 27 i think and B is 15 i think

Step-by-step explanation:

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.