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lord [1]
3 years ago
8

Tennis balls are sold in cylindrical cans with the balls stacked one on top of the other. A tennis ball has a diameter of 6.7 cm

. To the nearest cubic centimeter, what is the minimum volume of the can that holds a stack of 4 tennis balls
Mathematics
1 answer:
andrey2020 [161]3 years ago
6 0

Answer:

629.92 cm^3

Step-by-step explanation:

The minimum volume of the can that can hold 4 tennis balls must have at least the same volume as 4 tennis balls.

The volume of one tennis ball, V = \frac{4}{3}\pi  r^3

where r = radius of the tennis ball

The diameter of a ball = 6.7 cm

Its radius will be = 6.7 / 2 = 3.35 cm

Volume, V, will be:

V = \frac{4}{3}\pi  (3.35)^3

V = 157.48cm^3

Hence, the volume of 4 balls will be:

4 * V = 4 * 157.48 = 629.92 cm^3

The minimum volume that the cylindrical can has to have is 629.92 cm^3.

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There are 20 blue marbles and 10 red marbles in a bag .if a marble is drawn at random once ,what is the probability that it will
andrew11 [14]

Answer:

2/3

Step-by-step explanation:

First, you figure out how many marbles are in total, which is the denominator. The total number of marbles is 30.

Then, you figure out how many marbles are blue, which is the numerator. There are 20 blue marbles.

Finally, you simplify the fraction. 20/30=2/3.

5 0
3 years ago
Read 2 more answers
Jamal used 1/3 yard of ribbon to tie a package and 1/6 yard of ribbon to tie a bow how many yards of ribbon did Jamal use?
DaniilM [7]

Answer:

1/2 yard

Step-by-step explanation:

1/3 yard x 6/6 = 6/18 yard

1/6 yard x 3/3 = 3/18 yard

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6 0
3 years ago
Find the equation of the circle: y-intercepts 4 and –8, contain (–12, –8)
laila [671]

Answer:

  (x +6)^2 +(y +2)^2 = 72

Step-by-step explanation:

The given points are vertices of a right triangle. The circle circumscribing that triangle (through all 3 vertices) will have its center at the midpoint of the hypotenuse:

  ((0, 4) +(-12, -8))/2 = (-6, -2)

The equation of a circle with center (h, k) through point (a, b) is ...

  (x -h)^2 +(y -k)^2 = (a -h)^2 +(b -k)^2

For center (-6, -2) and point (0, 4), the equation is ...

  (x +6)^2 +(y +2)^2 = (0+6)^2 +(4 +2)^2

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6 0
3 years ago
Select the correct answer.
777dan777 [17]

I think option for the (D)

6 0
3 years ago
There are 110 sixth-grade students in a Florida middle school. 40% of the students enjoy playing video games on the weekends. Us
andreyandreev [35.5K]
40/100 - (I may be wrong)

Explanation: 40% of 110 is 44 so we make this a fraction 44/110 and then simplify to get 2/5 and after that we know that 2/5 is also 40/100, meaning 40 out of 100 students like video games.
7 0
2 years ago
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