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
Delicious77 [7]
3 years ago
14

2. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 2000/3 pi in^3 . One day, her sink clogge

d. 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 4 in. and a height of 8 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.
I got the answer 62.5 and then rounded to 63 cups.

(b) One cup has a diameter of 8 in. and a height of 8 in. How many cups of water must she scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
I got 15.625 and rounded to 16 cups.

Are these answers correct?
Mathematics
1 answer:
gayaneshka [121]3 years ago
7 0
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
You might be interested in
W + 1 = d and d = 3w solve by substitution
STALIN [3.7K]

Answer:

Step-by-step explanation:

Given

w + 1 = d...........equation 1

d = 3w ...............equation 2

Now putting d = 3w in equation 1

w + 1 = 3w

3w - w = 1

2w = 1

w = 1 / 2

putting w = 1 / 2 in equation 2

d = 1 / 2 * 3

 = 3/2

Hope it helps :)

8 0
3 years ago
Read 2 more answers
Please help me!
marusya05 [52]

Answer:


Step-by-step explanation:

Nice summary problem.

<AEC

  • AEC = 360 - 243.5 = 116.5    
  • The number of degrees in 1 rotation of a circle = 360o. You have accounted for 243.5 degrees. What is left over is the answer.

<EAD and <ECD

Both of these are tangents to a circle. Tangents meet radii at 90 degree angles.

<EAD = <ECD = 90 degrees

<ABC

<ABC is 1/2 the central angle. The Central angle is <AEC

  • < AEC = 116.5
  • <ABC = 1/2 * 116.5
  • <ABC = 58.25

<ADC

There are 2 ways of doing this. You should know both of them.

<em><u>One</u></em>

All quadrilaterals = 360 degrees. You know three of the angles. You should be able to find ADC

  • <ADC + 90 + 90 + 116.5 = 360     Add the four angles together.
  • <ADC + 296.5 = 360                   Combine terms on the left
  • <ADC = 360 - 296.5                    Subtract 238.25 from both sides
  • <ADC = 63.5                                 Answer

<em><u>Method Two</u></em>

<ADC = 1/2 (major Arc - Minor Arc)  This formula is fundamental to circle / tangent properties. The Major arc is the larger of the two parts of the circumference of a circle. The Minor arc is the smaller.

  • <ADC = 1/2(243.5 - 116.5)
  • <ADC = 1/2(127)
  • <ADC = 63.5
8 0
3 years ago
In a parallelogram a diagonal of the length 20 cm is perpendicular to one of the sides. Find the longer side of parallelogram if
riadik2000 [5.3K]
All the sides are 20 cm resulting in the perimeter being 80
7 0
3 years ago
Read 2 more answers
Can somebody help me please ?
Maurinko [17]

Answer:

ik that angle one would be the same as 3 and 2 and 4 are also the same so if u find an answer for 2 or 4 they would be the same but is there like a total of the entire thing

7 0
3 years ago
Read 2 more answers
Simplify 9 + 6k +3 +212 +3 +7​
melisa1 [442]

Answer:

6k+234

Step-by-Step Explanation:

Add 9, 3, 212, 3, and 7. You get 234. You can't change 6k because the variable, so you end up with 6k+234.

8 0
2 years ago
Read 2 more answers
Other questions:
  • Draw a graph of this linear inequality y&lt;2
    9·1 answer
  • The hyperbolic cross section of a cooling tower is given by the equation 4x2 − y2 + 16y − 80 = 0. The center of the cooling towe
    9·2 answers
  • PLEASE HELP ME WITH THIS PROBLEMS 2.
    11·1 answer
  • Help asap plz, shhdhdhdhshdhdn
    9·1 answer
  • In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint
    8·1 answer
  • I giveeeeeeeeeeee brainlilstttttttttttttttt
    5·1 answer
  • Jill sold half of her comic books and then bought sixteen more. she now has 36. how many did she begin with?
    6·1 answer
  • A ​ 75 inch is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
    12·1 answer
  • A. 35<br> B. 45<br> C. 135<br> D. 145
    14·1 answer
  • ᴡʜᴀᴛ ɪꜱ ᴛʜᴇ ꜱᴜʀꜰᴀᴄᴇ ᴀʀᴇᴀ ᴏꜰ ᴀ ʙᴀꜱᴇʙᴀʟʟ ᴡɪᴛʜ ᴀ 3 ɪɴᴄʜ ᴅɪᴀᴍᴇᴛᴇʀ.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!