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nata0808 [166]
1 year ago
15

a 20 cm nail just fits inside a cylindrical can. three identical spherical balls need to fit entirely within the can. what is th

e maximum radius of each ball?
Mathematics
1 answer:
DIA [1.3K]1 year ago
5 0

The maximum radius of each ball is 3.33 cm.

<h3>What is a Cylinder?</h3>

A cylinder is a three-dimensional figure which is made of two parallel circular bases separated at a certain distance by a curved surface of the same radius as that of the bases.

A 20 cm nail perfectly fits the cylinder.

So the height of the cylinder = 20cm.

A sphere is a three-dimensional geometrical figure analogous to a circle. All the points of the sphere are at the same distance from the center.

If 3 spheres have to be fitted inside the cylinder,

The sum of the diameter of the spheres will be equal to the height of the cylinder.

The spherical balls are identical and so will have the same diameter

Let the maximum diameter of the sphere that can fit in the cylinder is d cm

Then,

d + d + d = 20

3d = 20

d = 20/3 = 6.67 cm

r = 3.33 cm

The maximum radius that the spheres can have to fit in the cylinder is 3.33 cm.

To know more about Cylinder

brainly.com/question/16134180

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nikdorinn [45]

Answer:

Step-by-step explanation:

Let x represent the number of units of games sold.

The inventor of a new game believes that the variable cost for producing the game is $0.90 per unit and the fixed costs are $6200. It means that the total variable cost for x units would be

0.9 × x = 0.9x

The inventor sells each game for $1.69. This means that the total revenue from x units of games sold would be

1.69 × x = 1.69x

The total cost for a business is the sum of the variable cost and the fixed costs. Therefore, the total cost for the number of games sold would be

C = 6200 + 0.9x

Profit = Revenue - total cost

Therefore,

Profit = 1.69x - (6200 + 0.9x)

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8 0
3 years ago
What is the solution of 5 = t/2 -3?
Sladkaya [172]

Answer:

t=16

Step-by-step explanation:

you have to change the numbers to get just the variable.

we start from -3.

5=t/2-3

8=t/2

(we multiply by 2 instead of dividing)

8×2=16

t=16

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3 years ago
What is the sum of the interior angles of a nonagon?
SSSSS [86.1K]
To find the sum of the interior angles of a nonagon, divide it up into triangles... There are seven triangles... Because the sum of the angles of each triangle is 180 degrees... We get

7 * 180 = 1260°

So, the sum of the interior angles of a nonagon is 1260 degrees.

3 0
3 years ago
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Answer:

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3 years ago
Brian needs to buy some pencils bread I had a pack of 12 pencils for 298 when we has a pack of a pack of 18 pencils for 499 find
AlekseyPX

Answer:

The pack of 12 pencils for 298 is better as it has a lower unit price.

Step-by-step explanation:

To be able to find the answer, you have to calculate the unit price for each brand by dividing the price of the pack by the number of pencils in the pack.

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-499/18=27.72

According to this, the answer is that the pack of 12 pencils for 298 is better as it has a lower unit price.

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3 years ago
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