Question

Please help me quickly!! I will mark the Brainlist answer! :)


Akari has a sink that is shaped like a half-sphere. The sink has a volume of 8000/3*π in^3. One day, her sink clogged. She has to use one of two cylindrical cups to scoop the water out of the sink. The sink is completely full when Akari begins scooping.
Hint: you may need to find the volume for both.


-Cup A has a diameter of 4 in. and a height of 8 in. Find the Volume of Cup A.

-Determine how many cups of water must Akari scoop out of the sink with Cup A to empty it? Round the number of scoops to the nearest whole number, and make certain to show your work.

-Cup B has a diameter of 8 in. and a height of 8 in. Find the volume of Cup B.

-How many cups of water must she scoop out of the sink with Cup B to empty it? Round the number of scoops to the nearest whole number, and make certain to show your work.

PLEASE SHOW THE WORK!!

Answer 1

Answer:

5 cups Plz ,mark Brainliest:)

Step-by-step explanation:

The volume of the sink shaped like a half sphere is [2000/3] π in^2.

A) The volume of a cylinder is the area of the base * height

For this part the cup has a diameter, d, of 4 in and height, h, of 8 in.

The area of the base is π (d/2)^2 = π (2 in)^2  =  4π in^2.

The volume of the cup is 4π in^2 * 8 in = 32π in^3.

Then the number of cups to take the volume of [2000 / 3] π in^2 is:

[2000 / 3]π / [32π] = 20.83

Answer: 21 cups.

B) For this part the diameter of the cup is 8 in and the height is 8 in

Then the volume is π (4 in)^2 * 8 in = 128 ⇅ in^3

And the number of cups needed is ( [2000π/3] 128π) = 5.2  

Answer: 5 cups