A volume of the cone is (1/3) the volume of a cylinder. The volume of the sphere is what fraction of the volume of the cylinder?

Answers

Answer 1

Answer:

4/3

Step-by-step explanation:

To know this, let's write down the formulas for the volume of cylinder and sphere.

Vs = 4/3πr³   (1)

Vc = π r² h    (2)

Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:

Vs / Vc = 4πr³ / 3πr²h

Vs/Vc = 4πr³ / 3πr³

From here, we can cancel out the values of π and r³:

Vs/Vc = 4/3

Vs = 4/3 Vc

Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.

Hope this helps


Related Questions

what is the radius of the circle which has the given equation? (x - 2)2 + (y + 1)2 = 16

Answers

Answer:

r = 4units

Step-by-step explanation:

The standard foem of equation of a line is expressed as;

(x-a)² + (y-b)² = r²

r is the radius

Compare with the given equation (x - 2)^2 + (y + 1)^2 = 16

r² = 16

r = √16

r = 4

Hence the radius of the circle is 4

correct 2.67754 to two decimal places

Answers

the answer would be 2.68

Two sides of a right triangle measure 2 units and 4 units.
4 units
2 units
What is the area of the square that shares a side with the third side of the triangle?
units?

Answers

the answer is either 20 or 12

What is the value of tan C? Leave your answer as a fraction.
Help please!!

Answers

Answer:

35/12

Step-by-step explanation:

Opposite/Adjcent (of C)

35/12

The minimum angle of rotation to map the given image onto itself is
A) 180°
B) 270°
C) 90°
D) 45°

Answers

Answ

90

Step-by-step explanation:

because you have add 90 for all of them

It’s 90... look at the angles,they are all right (90*)

Which shape has a perimeter of 18 inches?(1 point)

Answers

Answer:

d

Step-by-step explanation:

35% of a number is what fraction of that number?
Your answer should be
a simplified proper fraction, like 3/5
a simplified improper fraction, like 7/4

Answers

Answer:

7/20, that's what my calculator says, hope this helps

Step-by-step explanation:

Which equivalent expression can be used to solve the quotient 2/3 divided by 4/5

Answers

Answer:

gay is bad

Step-by-step explanation:

Answer:

your answer is 5/6

:)

15 pts, Trigonometic ratios. Please solve as it says on the mandate, Thanks!

Answers

Answer:

WY = 8

Step-by-step explanation:

We solve for above question using the Trigonometric function of Sine

sin θ = Opposite/Hypotenuse

Opposite = WY = x

Hypotenuse = 9

θ = 63°

Hence,

sin 63° = x/9

Cross Multiply

x = sin 63° × 9

x = 8.0190587177

Approximately x = 8

Therefore, WY = 8

please view the image below to help solve thank youu


determine whether the scenario involves independent or dependent events then find the probability

Answers

Answer:

B

Step-by-step explanation:

1/4 x 1/4

independent because if you flip a tails on the first toss it doesn't affect the second toss

A cube is sliced by an angled plane as shown. Which of the following plane figures represents the cross section?

ANSWER VERY QUICK PLEASE!!! TY

Answers

Answer:

The rectangle

which should be the second option

Answer:

option #2 : rectangular

Step-by-step explanation:

option #2 : rectangular, with:

the length = diagonal of cube face

the width = cube edge

Write an inequality that represents eight less than three times a number is more than 22.

Answers

3x-8>22

hope this helps!

help please no links! thank you

Answers

Answer: x=43, y=180

Step-by-step explanation: x is 43 because the 43 next to it has the same value. y is 180 because the angle is a straight line.

find the volume of the prism

Answers

Answer:

volume = 108

Step-by-step explanation:

simple: volume = base x height

9 x 12 = 108

Answer 1452

Step-by-step explanation:

im not sure if im correct but the formua is V  = L x W x H which is volume equal lenth multiplied by with multiplied by height. so 12 x 11 x 11

Graph the line y = -3/4 +5

Answers

Answer: plot the y intercept at 5 on the y axis. Then from (0,5) count down 3 and to the right 4 to plot the next point at (4,2). Then kee doing that until you have enough pony’s to connect as a line.

Step-by-step explanation:

Ernie has 4 yellow straws, 3 green straws, and 1 blue straw in a kitchen drawer. Each straw is the same size and shape. Ernie pulls out one straw from from the drawer without looking. What is the probability of Ernie pulling out a green straw.
A. 1/8
B. 3/8
C. 5/8
D. 7/8

Answers

Answer:

3/8

Step-by-step explanation:

Circle math assignment . All the information is on the picture (click on it if it doesn’t fully appear) and if you can give me the work to that would be wonderful!!! PLSS ITS DUE TODAY

Answers

Answer:

the radius is half of the cricle

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.
O A. 13/2 ft
OB. 135 ft
C. 26 ft
D. 13 ft

Answers

Answer:

13sqrt(2)

Step-by-step explanation:

Using pythagoras theorem

What is the value of y?

Answers

Answer:

y = 66

Step-by-step explanation:

Exterior angles thm:

y + y - 31 = y + 35

2y - 31 = y + 35

2y - y = 35 + 31

y = 66

What is the measure of angle L? Round to the nearest hundreth.
Help please!!

Answers

Answer:

60.57

Step-by-step explanation:

The angle L can be found using the inverse sine function.

L=arcsin(opp/hyp )

L=arcsin(2.7/3.1)

L =60.57129282

asap please !
In a state assembly, 35% of the legislators are Democrats, and the other 65% are Republicans. 70% of the Democrats favor raising sales tax, while only 40% of the Republicans favor the increase. If a legislator is selected at random from this group, what is the probability that they favor raising sales tax? Give your answer as a percentage rounded to the nearest tenth.

Answers

Answer:

Probability of selecting a legislator who favors rising sales tax is 0.63

Step-by-step explanation:

Given

Percentage of legislators that are democrats = 0.35

Percentage of legislators that are Republicans = 0.70

All the democrats favor raise in sales tax , so their probability is 1

and only 40% of the Republicans favor raise in sales tax.

Probability of selecting a legislator who favors rising sales tax is

(0.35*1)+(0.70*0.40)

= 0.63

Consider the volume of cones and cylinders Part A The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder that has the same base and height as the cone? Enter your answer in the space provided. Part B The volume of a different right cylinder is 7,4487 cubic centimeters. The diameter of the base of the cylinder is 28 centimeters What is the height in centimeters of the cylindera Enter your answer in the space provided.​

Answers

Answer: part A : 900

Part B 38

Elena would like to know the average height of seventh graders in her school district. She measures the heights of everyone in a random sample of 20 students. The mean height of Elena’s sample is 61 inches, and the MAD (mean absolute deviation) is 2 inches.


Select all the true statements.


Who every can answer this I will give brainliest!! Please help!

Answers

Complete question is;

Elena would like to know the average height of seventh graders in her school district. She measures the heights of everyone in a random sample of 20 students. The mean height of Elena's sample is 61 inches, and the MAD (mean absolute deviation) is 2 inches.

Select all the true statements. Make your selections bold.

A. The median height of the sample must be between 59 and 63 inches.

B. Another random sample of 20 students is likely to have a mean between 57 and 65 inches.

C. The mean height of these 20 students is likely to be the same as the mean height of all students in the district.

D. The mean height of these 20 students is likely to be the same as the mean height of a second random sample of 20 students.

E. Elena would be more likely to get an accurate estimate of the mean height of the population by sampling 40 people instead of sampling 20 people.

Answer:

Options A, B & E are true.

Step-by-step explanation:

We are told that Elena's mean absolute deviation is 2 inches.

This means that the distance between each data point and the mean is equal to 2. This value gives us a good idea about the variability present in the dataset.

This is calculated from the difference between the mean of the absolute value of the initial mean and each data set.

Now, looking at the options. In option A, since mean height of the 20 students is given as 61, it means the median will be close to that figure too. Thus, between 59 and 63 inches given is appropriate.

In option B, if another random sample is taken, the mean would likely be close to 61 too since the MAD is 2.

Thus range given is okay.

In options C & D, there is no evidence to prove that the new mean would be the same as the district or the second random sample. This, both options are not appropriate.

In option E, if she uses a Sample of 40, she will obviously get a more accurate figure because the more the sample the more accurate the average result that represents the population.

A right cone has a slant height of 7 and a radius of 5. What is its surface
area?
O A. 357 units
B. 120 x units2
O c. 25x units2
D. 60 units

Answers

Answer:

D

Step-by-step explanation:

D. 60 Units

The surface area of the right cone is,

⇒ SA = 60π units²

What is mean by Multiplication?

The multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Radius of cone (r) = 5 units

Slant height of cone (l) = 7 units

Now, We know that;

The formula that is used to calculate the surface area of a cone is;

⇒ SA = πrl + πr²

Hence, We can substitute all the values we get;

⇒ SA = πrl + πr²

⇒ SA = π × 5 × 7 + π × (5)²

⇒ SA = 35π + 25π

⇒ SA = 60π units²

Thus, The surface area of the right cone is,

⇒ SA = 60π units²

Learn more about the multiplication visit:

brainly.com/question/10873737

#SPJ7

Write the number 3.8 x 10-4 in standard form.

Answers

Answer:

0.00038.

Step-by-step explanation:

The exponent is negative 4 so the 3 goes into the 4th place after the decimal point.

Pls help me fast thx

Answers

Answer:

The answer is C

Step-by-step explanation:

what is the answer to this, Simplify 8 and2/3

Answers

Answer:

4

Step-by-step explanation:

I think that is the answer

The diameter of a circle is 6 in. Find its area to the nearest tenth.

Answers

Answer and Step-by-step explanation:

The area formula for a Circle is:

A = [tex]\pi r^2[/tex]

Diameter is equal to the radius times 2.

So, divide the diameter to get the radius.

6 divided by 2 equals 3.

Now, plug it into the formula.

[tex]A = \pi (3)^{2}[/tex]

A = [tex]9\pi[/tex]

Plug this into your calculator by multiplying 9 by pi.

We get the answer to be 28.3 when rounded to the nearest tenth.

#teamtrees #PAW (Plant And Water)

Please Answer these ASAP Find the area.
1. Determine the value of the bases, b and B, used to determine the volume in the object below.
2. Find the area. The polygon is regular. Round answer to the nearest tenth

Answers

Answer:

polygon is regular. Round answer to the nearest tenth

Step-by-step explanation:

[tex]36 - 6 \times = \frac{ < \sqrt{ \geqslant \binom{ | |4)6300 \times - 9x55.90660606.. \sqrt{. \geqslant 522 \sqrt[25h \\ ]{?} \times \frac{?}{?} \times \frac{?}{?} } | | \times \frac{?}{?} }{?} } }{?} \times \frac{?}{?} [/tex]

________ probability is based on a uniform probability. Ask yourself: What SHOULD happen when you conduct an experiment?


A) Simple


B) Theoretical


C) Experimental




_____ probability is based on relative frequency. Ask yourself: What ACTUALLY occurred during such an experiment?


A) Simple


B) Theoretical


C) Experimental


HELPP!!!!

Answers

Answer:

The answer is "Experimental Probability  ".

Step-by-step explanation:

The probability of experiments is uncertainty which is calculated several times as per the outcome of even an experiment. The probability distribution is probably dependent upon reasoning. This probability is a price of about one or zero. It was based on the relative frequency or what occurs during a probability test.

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