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Georgia [21]
3 years ago
10

Explain how Cavalieri’s principle can be used to find the volume of any solid.

Mathematics
1 answer:
Kruka [31]3 years ago
8 0

Answer:

Cavalier's principle can be used to find the volume of any solid.

Step-by-step explanation:

Cavalier's Principle:

  • Cavalier introduced parallel planes and area to describe the relationship between solids.
  • Cavalier stated if two solids have the same height and equal areas of the base everywhere along the height then the solids have the same volume.
  • Suppose two regions are included between two parallel planes.
  • If every plane parallel to these two planes intersects both regions in cross-sections of equal area, then the two regions have equal volumes.
  • The formula for the volume of a prism is the area of the base times the height.
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Write the following equation in the general form Ax + By + C = 0. <br> 2x + y = 6
katen-ka-za [31]
<span>2x + y = 6
2x + y - 6 = 0

answer is </span>2x + y - 6 = 0

hope that helps
5 0
3 years ago
What is the diameter of a hemisphere with a volume of 2233\text{ cm}^3,2233 cm 3 , to the nearest tenth of a centimeter?
Agata [3.3K]

Answer:

The diameter of the hemisphere is 20.4 centimeters.

Step-by-step explanation:

The volume of an hemisphere is given by:

V = \frac{2 \pi r^{3}}{3}

In this problem, we have that:

V = 2233

So

\frac{2 \pi r^{3}}{3} = 2233

2\pi r^{3} = 3*2233

r^{3} = \frac{3*2233}{2\pi}

r = \sqrt[3]{\frac{3*2233}{2\pi}}

r = 10.2

The radius is 10.2 centimeters.

The diameter is double the radius. So:

2*10.2 = 20.4

The diameter of the hemisphere is 20.4 centimeters.

5 0
3 years ago
1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister? (a) Wr
Jlenok [28]
A)
Kim's age=k
Sister's age=s
k=2s
k+s=36
b)
k=2s
k+s=36
k=36-s
2s=36-s
3s=36
s=12
12*2=24
Kim is 24 and her sister is 12

Hope this helps :)

6 0
3 years ago
Read 2 more answers
Write an algebraic expression for each word phrase.
Viktor [21]

Answer:

1 4+p

2 5-(y×3)

3 m÷10

4 3×(7-d)

7 0
3 years ago
Carly placed 50 marbles in a bag. Fifteen of the marbles are pink, 8 marbles are black,
yuradex [85]

When you go into this problem, you want to figure out your marble ammount to 50 so in this case we will say C for color and 50 for the total ammount of marbles.

We know 15 are pink, 8 are black, 2 are green, 18 are clear, and 7 are striped

15P/50

8B/50

2G/50

18C/50

7S/50 for a total of 50 marbles

Now we use the chart to decide our awnsers  

A. We know our propability of drawing a green and clear is 20/50 which if we simplify is a 2/5 ratio. If We put this in perspective 2/5 is rare and is unlikley to even.

B. We know a striped marble is 18/50 or 1.8/5 ratio which is mainly unlikely

C. We have 23/50 marbles that are black and pink, our propability is about 2.3/5 and gives us an even chance to get one of these

D. We know we have 33/50 marbles that are pink and clear and gives us a 3.3/5 chance of getting one of  these and gives us an even to likely chance of getting one of these.

E. If we have a total of 17 marbles in these 3 colors, we have a 1.7/5 chance of getting one of these and is probably impossible to unlikey.

4 0
2 years ago
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