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enyata [817]
4 years ago
5

Item 19 A cylindrical container of four rubber balls has a height of 20 centimeters and a diameter of 5 centimeters. Each ball i

n the container has a radius of 2.5 centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number.
Mathematics
1 answer:
Lady_Fox [76]4 years ago
7 0
First you need to find the volume of the cylinder. Then find the volume of all 4 rubber balls (spheres). Subtract the cylinder's volume by the spheres' volumes.

Volume of cylinder: πr²h
                                   π2.5²(20) = 392.7 cm³

Volume of sphere: 4/3πr³
                                 4/3π2.5³ = 65.45 cm³

392.7 - 65.45 = 327.25

The amount of space in the container unoccupied by the rubber balls is 327 cm³.
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A van drove 241. 92 miles on 10. 8 gallons of gas. How far could the van drive on a full tank of 16. 2 gallons of gas? Drag and
mrs_skeptik [129]

You can use the given data to find out how many miles does the van travels for 1 gallon of gas. This will help you get the distance van can travel for full tank (16.2 gallons) of gas.

The considered van with full tank(16.2 gallons) can travel 362.88 miles

<h3>How to find the distance the van can travel per gallon of gas?</h3>

Since the considered van traveled 241.92 miles in 10.8 gallons, then we can take equal in dimension of input and output relation.

10.8 \: \rm gallons = 241.92 \: miles\\\\\text{Dividing both quantities by 10.8 to get miles traveled per gallon}\\\\\dfrac{10.8}{10.8} \:  gallon = \dfrac{241.92}{10.8} \: miles\\\\ 1 \: gallon = 22.4 \: miles

Thus, the considered van travels 22.4 miles per gallon of gas.

Now, since full tank consists of 16.2 gallons, thus, multiplying by 16.2 on both the sides, we  get

\rm 1 \: gallon = 22.4 \: miles\\\\16.2 \: gallons  = 16.2 \times 22.4 \: miles = 362.88 \: miles

Thus,

The considered van with full tank(16.2 gallons) can travel 362.88 miles

Learn more about division here:

brainly.com/question/2689177

8 0
2 years ago
Assuming that Switzerland's population is growing exponentially at a continuous rate of 0.19 percent a year and that the 1988 po
Nesterboy [21]
<span>First, the formula would be like this dP / dt= KP.
Secondly, since dP is given which is 6.9. Substitute it from the equation.

P(0) = 6.9 x 10^6
integral 1 divided by pdp which will look like this,

integral 1/ PdP = integral kdt

the answer would be .0019 or
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6 0
3 years ago
Read 2 more answers
{7TH GRADE} Create four (4) problems that include fractions. Solve the problems using estimation.
zaharov [31]

Answer:

Step-by-step explanation:

.

8 0
3 years ago
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The numbers 81, 45,27 are multiplies of
malfutka [58]
They are multiplis of 9
4 0
3 years ago
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If each side of a square grows 6 mm, the area of ​​the square is multiplied by 16. How long are the sides of the original square
Phoenix [80]

Answer:

2 mm

Step-by-step explanation:

Let x be the sides of the original square,

then the area of the original square is x^2

The sides of the new square is x + 6

The area is (x + 6)^2

Then (x + 6)^2 = 16*x^2

Take square root on both sides and get

x + 6 = 4x,

3x = 6

so x = 2 mm

3 0
3 years ago
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