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
konstantin123 [22]
3 years ago
6

Please help Will mark the Brainlest ASAP

Mathematics
1 answer:
Natalija [7]3 years ago
3 0

Problem 1

Part (a)

V1 = volume of sink = (4000/3)*pi = (4000pi)/3

V2 = volume of cup A

V2 = volume of cylinder with diameter 4 in, height 8 in

V2 = pi*r^2*h

V2 = pi*2^2*8 ... radius r = 2 is half the diameter d = 4

V2 = 32pi

x = number of cups of water needed to empty sink

x*V2 = V1

x = V1/V2

x = V1 divided by V2

x = (4000pi/3) divided by (32pi)

x = 41.667 approximately

Round up to the nearest whole number to get 42. It will take 42 scoops to empty the sink if you use cup A. The last scoop (the 42nd scoop) isn't a full cup, but it is needed or else the sink will still be full. Put another way, 41 scoops is not enough.

<h3>Answer: 42 cups</h3>

----------------

Part (b)

V3 = volume of cup B

V3 = volume of cylinder with diameter 8 in, height 8 in

V3 = pi*r^2*h

V3 = pi*4^2*8 ... radius r = 4 is half the diameter d = 8

V3 = 128pi

y = number of cups of water needed to empty sink if you use cup B

y*V3 = V1

y = V1/V3

y = V1 divided by V3

y = (4000pi/3) divided by (128pi)

y = 10.4167 approximately

Round up to the nearest whole number to get 11

You need 11 scoops of cup B to empty the sink. Ten cups won't be enough.

<h3>Answer: 11 cups</h3>

==================================================

Problem 2

Part (a)

V1 = volume of sink = (4000/3)*pi = (4000pi)/3

V2 = volume of cup A

V2 = volume of cone with diameter 4, height 8

V2 = (1/3)*pi*r^2*h

V2 = (1/3)*pi*4^2*8

V2 = (32/3)*pi ..... note how we multiply problem 1's V2 value by 1/3

V2 = 32pi/3

x = number of cups of water needed to empty sink

x*V2 = V1

x = V1/V2

x = V1 divided by V2

x = (4000pi/3) divided by (32pi/3)

x = 125

<h3>Answer: 125 cups</h3>

---------------

Part (b)

V3 = volume of cup B

V3 = volume of cone with diameter 8 in, height 8 in

V3 = (1/3)*pi*r^2*h

V3 = (1/3)*pi*4^2*8 ... radius r = 4 is half the diameter d = 8

V3 = (128/3)pi ..... this is 1/3 of the V3 value in problem 1 above

V3 = 128pi/3

y = number of cups of water needed to empty sink if you use cup B

y*V3 = V1

y = V1/V3

y = V1 divided by V3

y = (4000pi/3) divided by (128pi/3)

y = 31.25

Round up to the nearest whole number to get 32. Using 31 cups won't be enough.

<h3>Answer: 32 cups</h3>

==================================================

Problem 3

A = volume of cone at the bottom

A = (1/3)*pi*r^2*h

A = (1/3)*pi*8^2*12

A = (1/3)*pi*768

A = (1/3)*768*pi

A = 256pi

B = volume of hemisphere on top

B = half of the volume of a sphere

B = (1/2)*(volume of sphere)

B = (1/2)*( (4/3)*pi*r^3 )

B = (2/3)*pi*r^3

B = (2/3)*pi*8^3

B = (2/3)*pi*512

B = (2/3)*512*pi

B = (1024/3)*pi

B = 1024pi/3

C = volume of entire 3D solid

C = A+B

C = 256pi + 1024pi/3

C = 256pi*(3/3) + 1024pi/3

C = 768pi/3 + 1024pi/3

C = (768pi+1024pi)/3

C = 1792pi/3 ... is the exact total volume

C = 1792*3.14/3

C = 1875.62666666667 ... is the approximate total volume

C = 1875.6

<h3>Answer: 1875.6 cubic inches</h3>
You might be interested in
Which expression is equivalent to 7/2h - 3 (5h - 1/2)
poizon [28]

7/2h-3/2step-by-step

explicacion: 7/2h-3=37/2h5h

1/2= 3/2Expression made:37/2h 3/2

5 0
3 years ago
3x+2y=-4<br><br>I need help solving this. Pease help
marta [7]
Steps to solve:
3x+2y=-4
3x=-4-2y
x=- \frac{4}{3}- \frac{2}{3}y [/tex]
6 0
3 years ago
Geometry need to find the lengths of DE , EF AND DF , respectively? ASAP
fredd [130]

Answer:

option D

because every length is one fifth of the corresponding length of the bigger triangle

7 0
2 years ago
Divisibility Rules, use your divisibility rules to explain if the number is divisible or not.
morpeh [17]
Yes, the answer is 62.
5 0
3 years ago
Eva rode her bike at a steady speed to her grandmother's house, which was eight miles away, the ride took 40 minutes how many mi
Sliva [168]

Answer:

5 minutes

Step-by-step explanation:

8miles/1mile = 40minutes/ x minutes

x = 5 minutes

8 0
3 years ago
Read 2 more answers
Other questions:
  • The lines y equals=3x minus−1 and y equals=ax plus+2 are perpendicular if aequals=​_______.
    6·1 answer
  • What 8 9/8 as a mixed number
    6·1 answer
  • Plz help me with part b
    15·2 answers
  • Fionas salary is $30,000, and she expects to receive a 3% raise each year; 10 years
    12·2 answers
  • What is the probability of drawing a black ace followed by a heart out
    9·1 answer
  • Can someone help me :/ it’s due today. I’ll give extra points <br><br><br> The bottom one is dab=dcb
    8·1 answer
  • Find three consecutive integers whose sum is 51.
    7·1 answer
  • Line d is parallel to line c in the figure below.
    12·1 answer
  • What is the length of BC? If the answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.
    8·1 answer
  • One weekend, 600 tickets were sold to a carnival for a total of $2400. If an adult's ticket costs $6 and a child's ticket costs
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!