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uranmaximum [27]
2 years ago
13

2. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3617 in3. 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 2 in. and a height of 4 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. *** Complete sentences
Mathematics
1 answer:
sleet_krkn [62]2 years ago
8 0

Answer:Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h.  Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

V = 1/3π(2²)(8) = 32π/3

We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4.  The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3:

2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16

Step-by-step explanation:

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Alina [70]

Step-by-step explanation:

Q1. E

Q2. A

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Q4. C

4 0
3 years ago
What is the length of side x?
nikklg [1K]

Answer:

11 because as you see 3 and 6 if you divide it the scale factor is 1/2 so you just do 5.5 times 2 and get 11

Step-by-step explanation:

6 0
3 years ago
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Calcula la longitud de la variable "x"​​
Olenka [21]

Answer:

x=20

Step-by-step explanation:

30°-60°-90°Δ

a=10

b=20

c=10\sqrt{3}

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7 0
3 years ago
Please help me. I desperately need to pass Math T-T​
Ad libitum [116K]

Answer:

60 degrees

Step-by-step explanation:

C = 2(pi)r

The radius is 12 cm. We can find the circumference of a circle with radius 12 cm.

C = 2(pi)r = 2(3.14)(12 cm) = 75.36 cm

The length of the arc of the sector is 12.56 cm.

We can find the fraction this length is of the full circumference.

(12.56 cm)/(75.36 cm) = 1/6

The length of the arc of this sector is 1/6 the length of the circumference of the entire circle.

That means the angle of the sector is 1/6 the angle of an entire circle.

An entire circle has a central angle of 360 degrees.

1/6 * 360 degrees = 60 degrees

4 0
3 years ago
John needs to produce a scale diagram of a bedroom using a scale of 1:40. The length of the room is 3.4 metres. What is the leng
Varvara68 [4.7K]

Answer:

8.5cm

Step-by-step explanation:

convert 3.4metres to cm that is by multiplying by 100

3.4×100=340cm

1rep 40

?rep 340

that is 340/40

=8.5cm

5 0
3 years ago
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