1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
weeeeeb [17]
3 years ago
9

Michael has a sink that is shaped like a half-sphere. The sink has a volume of 3000 3 in3. One day, his sink is clogged. He has

to use one of two cylindrical cups to scoop the water out of the sink. The sink is completely full when Michael begins scooping. (a) One cup has a diameter of 6 in. and a height of 8 in. How many cups of water must Michael scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. (b) One cup has a diameter of 10 in. and a height of 8 in. How many cups of water must he scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number
Mathematics
1 answer:
jarptica [38.1K]3 years ago
4 0

Answer:

Part a) 42\ cups

Part b) 15\ cups

Step-by-step explanation:we know that

The volume of the sink (half sphere) is equal to

V=3,000\pi \ in^{3}

Part a) One cup has a diameter of 6 in. and a height of 8 in. How many cups of water must Michael scoop out of the sink with this cup to empty it?

The volume of the cylinder is equal to

V=\pi r^{2}h

we have

r=6/2=3\ in ----> the radius is half the diameter

h=8\ in

substitute the values

V=\pi (3)^{2}(8)=72\pi\ in^{3}

To find the number of cups divide the total volume of the sink by the volume of the cylinder

\frac{3,000\pi}{72\pi} =41.67\ cups

Round to the nearest whole number

41.67=42\ cups

Part b) One cup has a diameter of 10 in. and a height of 8 in. How many cups of water must Michael scoop out of the sink with this cup to empty it?

The volume of the cylinder is equal to

V=\pi r^{2}h

we have

r=10/2=5\ in ----> the radius is half the diameter

h=8\ in

substitute the values

V=\pi (5)^{2}(8)=200\pi\ in^{3}

To find the number of cups divide the total volume of the sink by the volume of the cylinder

\frac{3,000\pi}{200\pi} =15\ cups

You might be interested in
10x+36-38x-47 I don't understand this question i am so confused please explain i would be really thankful.
Lelechka [254]

-28x-11

Step-by-step explanation:

10x-38x=-28x

+36-47=-11

so the answer is -28x-11

8 0
3 years ago
Factor 20a + 45.............................................
Delvig [45]

Answer:5(4a+9)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the missing measure. Round to the nearest whole number (9mm, xmm, 4mm) find x
fredd [130]
The answer is 10mm, I answered this in a previous question.
6 0
3 years ago
Two shapes that have the same shape and size
vivado [14]
Squares and rectangles
7 0
3 years ago
Read 2 more answers
Please help, im seriously stuck on this
Rasek [7]

Answer:

x=64

Step-by-step explanation:

the shapes are similar

since the difference between 20 and 24 is 4

then you add 4 to 60 and get 64

I don't actually know 100% that this is correct but it makes sense in my head

7 0
3 years ago
Other questions:
  • A kite is a quadrilateral with two pairs of adjacent sides that are equal in length.Jackson has a rectangular piece of cloth tha
    12·1 answer
  • find 65÷4.write your answer using a remainder ,a fraction and a decimal. then tell which form of the answer you prefer .explain
    11·2 answers
  • When brett and will ride the​ carousel, brett always selects a horse on the outside​ row, whereas will prefers the row closest t
    11·1 answer
  • In 2010, the continent of South America had a population of 395,280,204 . Which of the following is the closest estimate of this
    13·1 answer
  • I need help please and thank you
    8·1 answer
  • How do you do this problem?
    13·1 answer
  • Simplify the expression below<br> (2^3*3^7)^6
    14·1 answer
  • What is this mixed numbers fraction 413
    5·2 answers
  • Hw help ASAPPP<br> +10PTS
    13·1 answer
  • When solving 8,411 ÷ 52, you decide to start by subtracting 100 groups of 52. What is the remainder?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!