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
ddd [48]
3 years ago
10

A frustum is made by removing a small cone from a similar large cone. Work out the volume of the frustum, below. Give your answe

r in terms of pie

Mathematics
1 answer:
AlekseyPX3 years ago
3 0

Answer:

Step-by-step explanation:

volume of cone=1/3 πr²h

volume of frustum=vol of larger cone-vol of smaller cone=1/3πR²H-1/3πr²h

=1/3π(R²H-r²h)

=1/3π(4.5²×9-3²×6)

=1/3π×9×3(4.5×1.5-2)

=9π(6.75-2)

=9π×4.75

=42.75π cm³

You might be interested in
What is the probability that a point chosen at random will be in the shaded region?
Scilla [17]
I will say 36 but I also will say wait on someone else to answer
4 0
3 years ago
I forgot how to divide
atroni [7]

Set up the equation. On a piece of paper, write the dividend (number being divided) on the right, under the division symbol, and the divisor (number doing the division) to the left on the outside. ...

Divide the first digit.

Divide the first two digits.

Enter the first digit of the quotient.


(See image attached for an example)

6 0
3 years ago
Read 2 more answers
- Use the unit circle to evaluate<br> the six trigonometric functions<br> of theta= 4pi
Helen [10]
<h2> The six trigonometric functions, \sin \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}}, \cos \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}},\tan \dfrac{\pi}{4} =1, \cot \dfrac{\pi}{4} =1, \sec \dfrac{\pi}{4} =\sqrt{2} and \csc \dfrac{\pi}{4} =\sqrt{2}.</h2>

Step-by-step explanation:

We have,

\dfrac{\pi}{4}

To write the six trigonometric functions = ?

\sin \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}}

\cos \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}}

\tan \dfrac{\pi}{4} =1

\cot \dfrac{\pi}{4} =1

\sec \dfrac{\pi}{4} =\sqrt{2}

\csc \dfrac{\pi}{4} =\sqrt{2}

∴ The six trigonometric functions, \sin \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}}, \cos \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}},\tan \dfrac{\pi}{4} =1, \cot \dfrac{\pi}{4} =1, \sec \dfrac{\pi}{4} =\sqrt{2} and \csc \dfrac{\pi}{4} =\sqrt{2}.

8 0
3 years ago
It is reported that 25% of the flights arriving at the Washington Dulles airport in January 2008 were late. Assume the populatio
lawyer [7]

Answer:

P(0.22

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

For this case the standard error is given by:

SE =\sqrt{\frac{p(1-p)}{n}} =\sqrt{\frac{0.25(1-0.25)}{625}}=0.0173

Solution to the problem

For this case we want to find the probability that the sample proportion will be within +-.03 of the population proportion like this:

P(0.25-0.03 < p< 0.25+0.03) =P (0.22

And for this case we can use the following z score:

z = \frac{\hat p - p}{SE_{p}}

And using this formula we got:

P(0.22

And we can find this probability like this:

P(-1.732

8 0
3 years ago
Question 30 The Royal Fruit Company produces two types of fruit drinks. The first type is pure fruit juice, and the second type
Flura [38]

Answer:

The answer is below

Step-by-step explanation:

The Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 85% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 85% pure fruit juice?

Answer: Let x be the number of pints of the first fruit juice (i.e 65%) and y be the number of pints of the second fruit juice (i.e 90%).

Since the total number of pints to make the 85% pure fruit juice is 80, it can be represented using the equation:

x + y = 80                              .                  .                 .    1)

Also, x pints of the first juice = 0.65x, y pints of the second juice = 0.9y and 80 pints of the mixture to be produced = 80(0.85) = 68. Therefore:

0.65x + 0.9y = 68               .                 .                  .        2)

We have to solve equation 1 and 2 simultaneously, first multiply equation 1 by 0.65 to get equation 3:

0.65x + 0.65y = 52            .                  .               .        3)

Subtract equation 3 from 2 and solve for y:

0.25y = 16

y = 16/0.25 = 64

y = 64 pints

Put y = 64 in equation 1:

x + 64 = 80

x = 80 - 64 = 16

x = 16 pints

Therefore 16 pints of the 65% pure fruit juice, and 64 pints of the 90% pure fruit juice is required to make 80 pints of 80% fruit juice.

4 0
4 years ago
Other questions:
  • Which two structures are found ONLY in plant cells?
    11·1 answer
  • Retailers will buy 45 Wi-Fi routers from a wholesaler if the price is $10 each but only 20 if the price is $85. The wholesaler w
    15·1 answer
  • The product of 9 and "m" is 45
    10·1 answer
  • Lets say you were at the store and you needed 2 times the apples you have in your basket, you have 2 apples in your basket. How
    15·1 answer
  • I’ll give BRAINLEST I need this now though
    8·1 answer
  • The annual rate of interest r is expected to be at least 2.5% but no more that 5%
    6·1 answer
  • The equation of a line y=2x+14. If the slope is doubled and the y-intercept is reduced by 5, what will be the new equation?
    13·1 answer
  • G/(g ^ 2 + 4g) - g/((g + 4) ^ 2) =?<br> Simplify.
    6·1 answer
  • Help help help help help help help help help help
    9·1 answer
  • What is the greatest common factor of 42, 49, and 21?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!