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Ostrovityanka [42]
3 years ago
12

Estimate how many tennis balls can fit into a small room

Mathematics
1 answer:
gavmur [86]3 years ago
4 0

a tennis ball has a diameter of about 2.5 inches

 so volume of a tennis ball is: 4/3 x pi x r^3 = 8.2 cubic inches ( estimating you could say 8 cubic inches

 1 cubic foot = 1728 cubic inches

 so you could fit 1728/8 = 216 tennis balls in a cubic foot.( estimated)

 you would then need to calculate the volume of the room

lets say a small room is 9 foo by 9 foot by 8 feet high

 9 x 9 x 8 = 648 square feet

 now multiply the 216 by the square feet of the room

216 * 648 = 139,968tennis balls

 now because they are round, there will be empty space around them

 so you could estimate about 139,000 tennis balls would fit I a 9 x 9 room that is 8 feet high.


 You didn't give the dimensions of the room, but this gives you the idea of how to estimate

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First we can find the area of the rectangle.

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Calculate the area:

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Now do the other two pair of triangles. The bases for them are 28 + 28 = 56 cm. The heights would be the net width minus the width of the rectangle:

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Now find the area:

\sf A=\dfrac{1}{2}bh

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