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
Triss [41]
3 years ago
5

A 6 oz paper cup is shaped like a cone with a diameter of 4 inches. How many ounces of water will a plastic cylindrical cup with

a diameter of 4 inches hold if it is the same height as the paper cup?
Mathematics
1 answer:
OleMash [197]3 years ago
5 0

Answer:

The plastic cylindrical cup will hold <u>17.96 ounces</u> of water.

Step-by-step explanation:

Given:

A 6 oz paper cup is shaped like a cone with a diameter of 4 inches.

Now, to find ounces of water will a plastic cylindrical cup with a diameter of 4 inches hold if it is the same height as the paper cup.

Volume of cone = 6 oz.

Diameter = 4 inches.

So, radius (r) = \frac{Diameter}{2} =\frac{4}{2} =2\ inches.

<u><em>Taking the value </em></u>\pi<u><em> = 3.14.</em></u>

Now, to get the height (h) we put formula:

Volume=\pi r^2\frac{h}{3}

Volume=3.14\times 2^2\times \frac{h}{3}

6=3.14\times 4\times \frac{h}{3}

<em>Multiplying both sides by 3 we get:</em>

18=12.56h

<em>Dividing both sides by 12.56 we get:</em>

1.43=h

h=1.43\ inches.

Now, to get the volume of cylindrical cup.

As, given it is the same height as the paper cup.

Height (h) = 1.43 inches.

Diameter = 4 inches.

Radius (r) = \frac{Diameter}{2} =\frac{4}{2} =2\ inches.

So, we put formula to get the ounces of water a plastic cylindrical cup will hold:

Volume =\pi r^2h

Volume=3.14\times 2^2\times 1.43

Volume=3.14\times 4\times 1.43

Volume=17.96\ oz.

Therefore, the plastic cylindrical cup will hold 17.96 ounces of water.

You might be interested in
The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4.5 per week. Find the probabili
Mariana [72]

Answer:

a) 0.01111

b) 0.4679

c) 0.33747

Step-by-step explanation:

We are given the following in the question:

The number of accidents per week can be treated as a Poisson distribution.

Mean number of accidents per week = 4.5

\lambda= 4.5

Formula:

P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}

a) No accidents occur in one week.

P(x =0)\\\\= \displaystyle\frac{4.5^0 e^{-4.5}}{0!}= 0.01111

b) 5 or more accidents occur in a week.

P( x \geq 5) = 1-\displaystyle \sum P(x

c) One accident occurs today.

The mean number of accidents per day is given by

\lambda = \dfrac{4.5}{7} = 0.64

P(x =1)\\\\= \displaystyle\frac{0.64^1 e^{-0.64}}{1!}= 0.33747

5 0
2 years ago
A superhero recently asked his nemesis how many cats she has. She answered with a​ riddle: ​"One-half of my cats plus two​."
mixer [17]
I got ten. Here's the equation. 

x = 1/2x + 5 

<span>Subtract 1/2x from both sides to get all x's on one side </span>

<span>x - 1/2x = 1/2x - 1/2x + 5 </span>

<span>1/2x = 5 </span>

<span>Now multiple the left by 2 to get x, but since it's an equation, you need to also multiply the right by 2 to keep it =. </span>

<span>2 * 1/2x = 2 * 5 </span>

<span>x = 10 cats</span>
4 0
2 years ago
Read 2 more answers
1+1/9×100÷2+89what will the answer be need help
kirza4 [7]

95.5555555556

Hope this helps :D

4 0
2 years ago
Read 2 more answers
Marking brainliest 13 points
Goshia [24]

Answer:

3183.96 cm³

Step-by-step explanation:

The formula for volume of a cylinder is: V = pi times r² times h.

Hope it helps!

4 0
2 years ago
Read 2 more answers
Ashley bought 4 1/3 yards of fabric. How much is this in feet
Feliz [49]

Answer:

13 feet

Step-by-step explanation:

1 yard = 3 feet

4 yards = 12 feet

1/3 yard = 1 foot

12 feet + 1 foot = 13 feet

6 0
3 years ago
Read 2 more answers
Other questions:
  • Car rental agency A charges $50 per day plus 10 cents per mile driven. Agency B charges $20 per day plus 30 cents per mile drive
    6·2 answers
  • Which one is greater or is it equal<br><br> 9.8 and square root of 78
    14·2 answers
  • It takes Dan 32 minutes to complete 2 pages of math homework. At this rate, how many pages does he complete in 200 minutes?​
    8·2 answers
  • jana bowled 5 games .write and solve an equation to find how many points she averaged each game chart says scored 522
    14·2 answers
  • Each number in a list of numbers can be found using the expression 6 − 23(n − 1), where n is a positive integer that gives the p
    13·1 answer
  • Two trains leave towns 1542 kilometers apart at the same time and travel toward each other. one train travels 11 km/h slower tha
    9·1 answer
  • What is the product of 6 and one-half and 9 and one-fourth? 15 and three-fourths 54 and StartFraction 1 Over 8 EndFraction 60 an
    5·1 answer
  • At total of 2 feet of snow falls over three days on the first day 1/6 of the snow falls on the second day 7/12 of the snow falls
    9·1 answer
  • 7.2 x 10^-2 and 3 x 10^-1
    8·1 answer
  • If P(A) = 1/10 , find P(A)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!