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romanna [79]
3 years ago
5

WILL MARK BRAINLIST ! Carissa also has a sink that is shaped like a half sphere. The sink has a volume of 20003π in3. One day th

e sink clogged, so she had to use a cup to scoop the water out of the sink. The sink is completely full when Carissa begins scooping.
The cup is a cone with a diameter of 4 inches and a height of 8 inches. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round to the nearest whole number.

BE SURE TO SHOW YOUR WORK or THINKING for full credit
Mathematics
1 answer:
faltersainse [42]3 years ago
7 0

Answer:

63 cups of water.

Step-by-step explanation:

The volume of a cone is V = 1/3πr²h. The diameter of the cup is 4, the radius of the cup is 2, so the volume is:

1/3π×8×2²

8/3π×4 = 32π/3.

Divide the volume of the sink by the volume of the cup:

2000π/3 ÷ 32π/3 = 6000π/96π = 62.5.

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What we know:
Football field is 100 yards in length
End zones are 10 yards each in length
Perimeter between pylons is 306 2/3 yards

What we need to find:
a. Perimeter and area of one end zone
b. Perimeter and area of without end zones
c. Perimeter and area of playing field with end zones

First we need to find the measurements of the field between pylons using the perimeter of 306 2/3 yards. We already know the length is 100 yards so we need to find width (w).

P=2l + 2w
306 2/3=2 (100) + 2w
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300 2/3-200=200-200+2w
106 2/3=2w
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a. Perimeter=2 (10)+2 (53 1/3)=126 2/3 yards
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b. Perimeter=2 (100)+2 (53 1/3)=306 2/3 yards
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If 3× :8=24:16find the value of x given that ×&gt;0
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<u>Step-by-step explanation:</u>

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⇒ 6x = 24

⇒   x  = 4

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3 years ago
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