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eduard
3 years ago
8

HELP ASAP. giving brainliest . And 20 points ! Need to know help ASAP.

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
8 0

Answer: 252 in

Step-by-step explanation:

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The image shows three tennis balls enclosed in a cylindrical can. Choose all that are correct. The volume of a single tennis bal
Fynjy0 [20]

Answer:

The volume of a single tennis ball is 14.14\ in^{3}

The volume of three tennis balls is 42.42\ in^{3}

Step-by-step explanation:

Step 1

Find the volume of a single tennis ball

we know that

The volume of a sphere is equal to

V=\frac{4}{3}\pi r^{3}

where r is the radius of the sphere

In this problem

r=3/2=1.5\ in

substitute

V=\frac{4}{3}\pi (1.5)^{3}

V=14.14\ in^{3}

Step 2

Find the volume of the can

we know that

the volume of the cylinder is equal to

V=\pi r^{2} h

where r is the radius of the cylinder

h is the height of the cylinder

in this problem we have

r=3/2=1.5\ in

h=8.4\ in

substitute

V=\pi (1.5)^{2}(8.4)

V=59.38\ in^{3}

Statement

<u>case A)</u> The volume of a single tennis ball is 14.14\ in^{3}

The statement is true

See the procedure in Step 1

<u>case B)</u> The volume of the can is 56.55\ in^{3}

The statement is false

The volume of the can is 59.38\ in^{3} --> see the procedure Step 2

<u>case C)</u> The empty space inside the can is 14.13\ in^{3}

The statement is false

To find the empty space subtract the volume of three tennis ball from the volume of the can

59.38\ in^{3}-3*14.14\ in^{3}=16.96\ in^{3}

<u>case D)</u> The volume of three tennis balls is 42.42\ in^{3}

The statement is true

To find the volume of three tennis balls multiply the volume of a single tennis ball by three

14.14*3=42.42\ in^{3}

8 0
3 years ago
Here are 10 test scores: 30, 74, 76, 77, 78, 79, 80, 80, 82, 84. The mean of these scores is 74.
creativ13 [48]
We add up all those numbers (excluding 30) and divide by the number of numbers (9). This results in 78.8 (round up to 79).

79-74 = 5. So the mean has increased by 5 points. (C)
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Evaluate. 12⋅(4−2/4−4)
Zielflug [23.3K]
I think it's B I'm not sure tho
5 0
3 years ago
Read 2 more answers
A factory is currently running at 85% of its original capacity, and management is considering upgrading the equipment.
Zarrin [17]
I will take the sugestion, so 85 units per month (100 is full capacity)


so while doing maintinance, the 6 months is wasted, 0 ouput, basically 85*6=510 lost

now we have to see how many months x it takes for the output to match

the output that would have been is
510+85x
the output now is 120x
so
510+85x=120x
minus 85x both sides
510=35x
divide both sides by 35
14.57=x
round up
15 months needed
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