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3 years ago

A baseball has a 45 cm diameter. what is the volume of the contents of the ball

2 answers:

5 0

First you need to find the radius. To do that you need to divide the diameter by two;

45 / 2 = 22.5

Then you plug the radius in the formula for a sphere. Which is...

V = (4 / 3)πr^3
First you need to find the volume with out pi

V = (4/3) π (45)^3
V= π (4/3) (91,125)
Your answer with out pi is...
V= (68,343.75) π cm^3
And with pi is...
V = 214,708.22 cm^3

Pepsi [2]3 years ago

3 0

Answer:

47732.14 cm³

Step-by-step explanation:

To find the volume of the sphere with a diameter of 45 cm, we simply use the formula for calculating volume of a sphere, since a base ball is also spherical in shape.

Volume of a sphere = 4/3 πr³

But in the question, we were given diameter, so we can find our radius using the diameter given.

radius = diameter / 2

radius = 45 / 2

radius(r) =22.5 cm

The constant value of π is always 22/7 or 3.142 unless stated otherwise.

We can now go ahead and insert our values into the formula;

Volume of baseball = 4/3 πr³

=4/3 × 22/7 × (22.5)³

= 1002375 / 21

=47,732.14 cm³

Volume of the baseball = 47,732.14 cm³

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2 years ago

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A junk box in your room contains fourteen old batteries, seven of which are totally dead. You start picking batteries one at a

MrMuchimi

Answer:

A junk box in your room contains fourteen old batteries, seven of which are totally dead.

So, number of good batteries = $14-7=7$

a) The first two you choose are both good.

There is a 7/14 chance that we will pick a good battery.

Now there are 13 batteries left and out of that there are only 6 good ones remaining, so this becomes 6/13.

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b) At least one of the first three works.

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c) The first four you pick all work.

There is a probability of 7/14 for the first one to work, 6/13 for the second, 5/12 for the third and 4/11 when the fourth is good, combined we get by multiplying all:

$\frac{7}{14}\times \frac{6}{13}\times \frac{5}{12}\times \frac{4}{11}=0.0344$

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This condition means that we pick 4 bad batteries and 1 good battery.

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3 years ago

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Answer:

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Take half of b: 18/2=9

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