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Natali5045456 [20]
2 years ago
7

Cavalieri’s principle states that if two solids of equal height have equal cross-sectional areas at every level parallel to the

respective bases, then the two solids have equal volume. the two shaded solids both have a height of 2r units. at every level, the areas of the cross sections of both solids equal π(r2 – b2). a cylinder and a sphere are shown. 2 cones are cut out of the cylinder. the cones have a radius of 4. the cylinder has a height of 2 r. the sphere has a radius of 4. the sphere has a height of 2 r. cross-sectional areas are shown on each figure. therefore, the formula for the volume of the sphere can be derived by writing an expression that represents the volume of one cone within the cylinder. the two cones within the cylinder. the solid between the two cones and the cylinder. the cylinder.
Mathematics
1 answer:
Musya8 [376]2 years ago
7 0

Therefore, the formula for the volume of the sphere can be derived by writing an expression that represents the volume of C. The solid between the two cones and the cylinder

<h3>What is the Volume of a Sphere?</h3>

This refers to the capacity of a sphere, which is the maximum that can be contained in the sphere. This is denoted as V=4/3πr3

Hence, we can see that based on Cavalieri’s principle that states that if two solids of equal height have equal cross-sectional areas, then the two solids have equal volume.

Therefore, the two shaded solids both have a height of 2r units, and thus, to derive the function, we would have to write an expression that represents the volume of the solids between the  two cones and the cylinder

Read more about volume of spheres here:

brainly.com/question/12527681

#SPJ4

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Mandy has $20 in a savings account the interest rate is 10% per year and is not compounded. how much will she have in one year.
sveta [45]
She will have $22

P       R     T
20 x 1.1 x 1 
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6 0
3 years ago
Can someone please help super short
insens350 [35]

Answer:

542, 543, 544, 545.

Step-by-step explanation:

Divide 2174 by 4 = 543.5  

(because there are 4 integers) 543.5 is not an integer.

However, one of the four integers is 543.

Write down four consecutive numbers that include 543 and add them:  

like 541+542+543+544 =. if that is 2174, you have the answer, if it's too low, try moving up one number, like

542+543+544+545 = if it's still too low, move up one number again  

543+544+545+546=  

You only have to do that a max of 3 times to get the answer.

The four consecutive integers are  

542, 543, 544, 545.

<em>good luck, hope this helps :)</em>

3 0
3 years ago
Read 2 more answers
Suppose that a box contains 8 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random. Define the
maria [59]

Answer:

P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2

Step-by-step explanation:

Given that:

Total Number of cameras (n) = 8

Defective cameras = 4

X: number of defective cameras

For a binomial distribution :

P(x) = nCx * p^x * (1 - p)^(n - x)

Probability of success (p) on each trial is the same = (total number of samples / number of defective samples) = 8/4 = 0.5

If 2 samples are chosen at random :

Then, the binomial probability distribution will be :

P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2

5 0
3 years ago
Everything is above
Artyom0805 [142]

Answer:

Option B

Step-by-step explanation:

8 - 2x < 18

Subtract 8 from both sides;

-2x < 10

Divide both sides by -2

x > -5

3 0
3 years ago
Read 2 more answers
Im on a timer so pls answer fast!
Paladinen [302]
WHATS THE QUESTION DUDE??
8 0
3 years ago
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