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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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Manuel noticed that his cellphone bill reflected a monthly fee of
Tomtit [17]

Answer: (total amount paid - $40) / 0.05

Step-by-step explanation:

Given the following :

Monthly fee = $40

Additional fee = $0.05 per minute on phone

Given the the amount paid for the month is available, number of minutes he was on phone can be determined thus :

Total amount to be paid = monthly fee + additional fee

Additional fee = $0.05 × n

Where n = number of minutes on phone

Hence,

Total amount paid = $40 + $0.05n

If the amount paid is known, the number of minutes on phone can be calculated thus;

(Total amount paid - monthly fee) = $0.05n

n = (Total amount paid - monthly fee) / fee per minute on phone

(total amount paid - $40) / 0.05

3 0
2 years ago
Which equation finds the length of side c of this right triangle
NeX [460]

Answer:

Find The Length Of The Side Of A Right Triangle : Example Question #1. Explanation: The Pythagorean Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Suppose you invest $16000 at 9% interest and that it is compounded daily. How much will you have in 8 years?
kramer

Answer:

The amount after 8 years is $ 16,031.579

Step-by-step explanation:

Given as :

The Principal invested = $ 16000

The rate of interest compounded daily = 9 %

The time period = 8 years

Let The amount after 8 years = $ A

<u>From Compounded method </u>

Amount = Principal invested × (1+\dfrac{\textrm Rate}{365\times 100})^{365\times \textrm Time}

Or, Amount = 16000 × (1+\dfrac{\textrm 9}{365\times 100})^{365\times \textrm 8}

Or, Amount = 16000 × (1.0002465)^{8}

∴  Amount = $ 16,031.579

Hence The amount after 8 years is $ 16,031.579   Answer

4 0
3 years ago
Slope -3/2 passes through (-4,7)
Kryger [21]

Answer:

5/−1

Step-by-step explanation:

Slope =y2−y1x2−x1

7−2−4−−3

5/−1

8 0
3 years ago
What is the answer?
g100num [7]
I'll tell you the answer but should I graph it, solve for x, solve for y, or what should I solve for?
3 0
2 years ago
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