Question

Please help!! (100 points)

Clarissa has a sink that is shaped like a half-sphere. The sink has a value of 660tt in^3. One day her sink clogged, she has to use one conical cup to scoop the water out of the sink. The sink is completely full when Clarissa begins scooping.

(a) The conical cup (shaped like a cone) has a diameter of 5 in and a height of 8 in. How many cups of water must Clarissa scoop out of the sink with this cup to empty it?

(ROUND THE NUMBER OF SCOOPS TO THE NEAREST WHOLE NUMBER)

Answer 1

40 scoops

Explanation:

Volume of the sink is 660pi in³

Volume of the cone/scoop is:

⅓ × pi × 2.5² × 8 = 50pi/3 in³

No. of scoops required:

660pi ÷ 50pi/3

660 ÷ 50/3 = 39.6

Answer 2

13 scoops

Explanation:

PART 1) 2.5*2.5*8/3*3.14

52.36

PART 2) 660/52.36

13 scoops