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larisa [96]
2 years ago
13

A cylinder shaped container has a radius of 25 centimeters and a height of 100 centimeters. A glass sphere with a radius of 10 c

entimeters is placed inside the cylinder shaped container and then the container is completely filled with water What is the approximate volume of water contained in the cylinder? Use 3 14 for p 4.187 cm 192.063 cm 196 250 cm 200.437 cm​

Mathematics
1 answer:
aivan3 [116]2 years ago
6 0

Answer:

192.063 cm

Step-by-step explanation:

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alisha [4.7K]

Diagonal of the parallelogram divides the parallelogram in to two equal areas.

So area of parallelogram = 2(area of triangle)

According to the given diagram,

AB= 8, AD = 5 and BD = 11

So according to the Heron's formula,

Area of triangle = \sqrt{s(s-a)(s-b)(s-c)}\\\\where,\\ s =\frac{a + b + c }{2}

and a, b and c are the three sides of the triangle

Area of triangle ABD =s=\frac{8 + 5 + 11}{2} \\\\s = \frac{24}{2}\\\\s = 12Area of triangle ABD = \sqrt{12(12 - 8) (12 - 5) (12 - 11)}\\\\Area of triangle ABD = \sqrt{12(4) (7) (1)}\\\\Area of triangle ABD = \sqrt{336}\\\\Area of triangle ABD = 18.33

So, area of parallelogram ABCD = 2(area of triangle ABD)

area of parallelogram ABCD = 2 (18.33)

area of parallelogram ABCD = 36.66

area of parallelogram ABCD = 36.7 sq. units

6 0
2 years ago
Read 2 more answers
The Gross National Product (GNP) is the value of all goods and services produced in an economy, plus the value of the goods and
LenKa [72]

The question supplied is incomplete. The complete question is shown below:

The Gross national product (GNP) is the value of all the goods and services produced in an economy, plus the value of goods and services imported, less the goods and services exported. During the period of 1994-2004, the GNP of Canada grew about 4.8% per year, measured in 2003 dollars. In 1994, the GNP was $5.9 billion. Assuming this rate continues, in what year with the GNP reach $10 billion?

Answer:

2006

Step-by-step explanation:

Every year, the new GNP will become (100 + 4.8)% of that of the previous year. That is 104.8%, and equivalent of 1.048.

Let P(y) be the GNP after a period of y years.  

After y years, the equation for calculating A(y) becomes

A(y)=5.9*(1.048)^y

Since A(y) = 10

10=5.9*(1.048)^y

10/5.9 =(1.048)^y

1.695=(1.048)^y

ln⁡(1.695) = ln⁡(1.048)^y

ln⁡(1.695) = y ln⁡1.048

y=ln⁡1.695/ln⁡1.048  

y=11.26 years

1994 + 12 = 2006

Canada’s GNP will reach $10 billion in the year 2006

8 0
3 years ago
Which number has the prime factorization shown below
Musya8 [376]
Connections Academy? I got you covered. The correct and final answer is 600.
3 0
3 years ago
Read 2 more answers
CAN I GET A MC PICK TOTOROTOTOTOOTOTOTOTOTOTOTOTOTOTOOOOOOOOO
ipn [44]

Answer:THXXXXXXXSSSSS FOR THE POINTS

Step-by-step explanation:

4 0
2 years ago
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What is the surface area of the net of the rectangular prism?
swat32

Answer:

638.32 yd²

Step-by-step explanation:

The surface area of any figure can be found by calculating the area of all the sides and finding the sum.  In a rectangular pyramid, there is a rectangular base (l x w) and the same two triangles on one side and another two identical triangles on the other side.

Area of rectangle: A = l x w

Area of a triangle:  A = 1/2(b)(h)

Rectangle: 16 x 13.4 = 214.4 yd²

Bottom/top triangles: 14.1 x 16 = 225.6 yd²

Side triangles: 14.8 x 13.4 = 198.32 yd²

Total:  198.32 + 225.6 + 214.4 = 638.32 yd²

8 0
3 years ago
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