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bearhunter [10]
3 years ago
10

How can you use the formula for the volume of cylinder to remember the formula for the volume of a cone and the volume of a sphe

re?

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
8 0

Answer: Choice A

The formula for the volume of a cone is 1/3 the volume of a cylinder. The volume of a sphere is 4/3 the volume of a cylinder, where the height of the cylinder is the same as the radius of the sphere

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

Explanation:

As the first screenshot shows, the volume of a cone is 1/3 the volume of a sphere. The radius of each are the same. The height of each are the same as well.

The first screenshot also mentions "The volume of the half sphere is 2/3 the volume of the cylinder". The diagram shows the height of the cylinder (h) is equal to the radius of the half sphere. Based on this, the volume of a full sphere of radius r will be 4/3 times the volume of the cylinder with the same radius and height of 2r. You can think of having a spherical tennis ball inside a cylindrical can.

The first screenshot shows this when your teacher computed 2*\frac{2}{3}*\pi*r^2*r to get \frac{4}{3}\pi*r^3

Note how \frac{4}{3}\pi*r^3 = \frac{4}{3}\left(\pi*r^2*r\right)

The stuff in parenthesis represents the volume of a cylinder with radius r and height h = r. This is one way to see that

SphereVolume = (4/3)*(CylinderVolume)

where the height of the cylinder is as discussed above.

kiruha [24]3 years ago
8 0

Answer:

The answer is a

Step-by-step explanation:

because the cone's volume is exactly one third (  13 ) of a cylinder's volume and the sphere's volume is  43 vs 2 for the cylinder

Or more simply the sphere's volume is  23 of the cylinder's volume!

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Number Frequency 1,400 3 1,450 7 1,500 7 1,550 5 1,600 4 1,650 2 1,700 1 What is the mode?
poizon [28]
Mode is the number that shows up the most

in this case, it is 71,500 which shows up twice, one more than any of the other numbers

hope this helps
3 0
3 years ago
Read 2 more answers
Solve the system of equations: y= x^2 + 2x - 3 and y=3x+ 3.
Semenov [28]

Answer:

(-2, -3)

(3, 12)

Step-by-step explanation:

To solve this, we're gonna get rid of the y's with substitution

x² + 2x - 3 = 3x + 3

Let's make this equation equal to zero

Subtract 3 from both sides

x² + 2x - 3 = 3x + 3

            - 3         - 3

x² + 2x - 6 = 3x

Subtract 3x from both sides

x² + 2x - 6 = 3x

    - 3x        - 3x

x² - x - 6 = 0

Factor the equation

(x - 3)(x + 2) = 0

This means x can be -2 or 3

Let's solve it with -2 first, plug the new x in y = 3x + 3

y = 3(-2) + 3

y = -6 + 3 = -3

Do the same for x = 3

y = 3(3) + 3

y = 9 + 3 = 12

3 0
2 years ago
Crane Company provided the following information from its accounting records for 2019.
Ipatiy [6.2K]

Answer:

$10.00 per hour

Step-by-step explanation:

Overhead application rate which is also known as overhead absorption rate on the basis on labor hours is the total budgeted overhead  for 2019 which is $900,000 divided by the expected production of 90,000 labor hours for the year.

overhead application rate=$900,000/90,000=$10 per hour

This implies that for every one hour worked overhead cost of $10 would be added to the other costs incurred.

The correct option then is the third option of $10.00 per hour

8 0
3 years ago
samuel needs to estimate the product of 24 x 395. Explain two different methods Samuel can use to estimate.
JulsSmile [24]

Samuel needs to estimate the product of 24 x 395.

First method

We round the number to nearest tens

24 can be rounded to 20 because we have 4 on ones place

395 can be rounded to 400 because we have 5 in ones place so we add 1  with 9 and it becomes 10 . so we add 1 with 3 and got 400

20 * 400 = 8000

Second method:

We round the number to nearest hundreds place

24 have no number in hundreds place so it remains 24

395 can be rounded to 400 because we have 9 in tens place.

24 * 400 = 9600


4 0
2 years ago
-2x2 - x + 7 +x2 +4x-5
Arada [10]

Answer:

Need more?

Step-by-step explanation:

-x^2 + 3x + 2

Is this the answer?

6 0
3 years ago
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