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zhuklara [117]
1 year ago
10

Drag and drop an answer to each box to correctly complete the explanation for deriving the formula for the volume of a sphere

Mathematics
1 answer:
denis-greek [22]1 year ago
5 0

The answers that would fill in the blanks are

  • 2r
  • a circle
  • an annulus
  • 1/3πr³
  • 4/3πr³
<h3>What is the Cavalier's principle?</h3>

This principle states that if two solids are of equal altitude then the sections that the planes would make would have to be parallel and also be at the same distances from their bases which are equal such that the volumes of the solids would be equal.

Now we have to fill in the blanks with the solution.

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius r and height<u> 2r</u> minus the volume of two cones, each with a radius and height of r. A cross section of the sphere is a <u>circle</u> base of cylinder, is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is an <u>annulus_ </u>.The volume of the cylinder with radius r and height 2r is 2πr³, and the volume of each cone with radius r and height r is 1/3πr³. So the volume of the cylinder minus the two cones is 4/3πr³. Therefore, the volume of the sphere is by Cavalieri's principle

Read more on Cavalieri's principle here

brainly.com/question/22431955

#SPJ1

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Write a division expression with quotient that is greater than 8 divided 0.001
Jet001 [13]

Answer:

Expression is '98 divided by 0.005' i.e. \frac{98}{0.005}.

Step-by-step explanation:

We have that,

The quotient of 8 divided by 0.001 is given by,

\frac{8}{0.001} = \frac{8\times 1000}{1} = 8000.

It is required to find a division expression having quotient greater than 8000.

Let us consider,

'98 divided by 0.005'

i.e. \frac{98}{0.005}

i.e. \frac{98\times 1000}{5}

i.e. 98 × 200

i.e. 19,600

Thus, the get the quotient of the new expression 19,600 > 8000.

Hence, the required expression is '98 divided by 0.005' i.e. \frac{98}{0.005}.

5 0
3 years ago
Confused on this help plss
ValentinkaMS [17]

Answer:

of iv

+

2

(

4

−

)

=

2

+

6

−

3

x+2({\color{#c92786}{4-x}})=2x+6-3x

x+2(4−x)=2x+6−3x

+

2

(

−

+

4

)

=

2

+

6

−

3

Step-by-step explanation:

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8 0
2 years ago
Out of the 30 days in April, 3/5 of the days were sunny and clear. The rest of the days were either cloudy or contained some rai
Lelechka [254]

Answer:

12

Step-by-step explanation:

5 0
3 years ago
How do you graph <br> y=3x and y=-x-8
laila [671]

Answer:

The points for the given two linear equation as

x_1 , y_1 = - 2 , - 6

x_2 , y_2 = - 2 , 6

The graph so plotted as shown

Step-by-step explanation:

Given as :

The two linear equation are

y = 3 x                 ........A and

y = - x - 8             .........B

Solving equation A and B

Now, Put The value of y from eq A into eq B

So, 3 x = - x - 8

Or, 3 x + x = - 8

Or, 4 x = - 8

∴ x = \dfrac{-8}{4}

I.e x = - 2

Now , Put the value of x into eq A

∵ y = 3 x

∴ y = 3 × (-2)

I.e y = - 6

Again, Put the value of x into eq B

∵ y = - x - 8

∴ y = - 2 - (-8)

I.e y = 6

So, for x = - 2 , y = - 6

And for x = - 2 , y = 6

Hence , The points for the given two linear equation as

x_1 , y_1 = - 2 , - 6

x_2 , y_2 = - 2 , 6

The graph so plotted as shown . Answer

8 0
3 years ago
How are the values of the 4s in 446,218 related ?
Bezzdna [24]
Okay, so first you need know the values of the 4s. The first 4 is 400,000 and the second 4 is 40,000. The values are related because 400,000 is

tenTimes greater than
8 0
3 years ago
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