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love history [14]
3 years ago
8

Can someone help me with the LxWxH of a sphere and a cylinder plz

Mathematics
1 answer:
kotykmax [81]3 years ago
6 0

<em>L x W x H</em> is what you use to find the volume of a parallelopiped ...
like a cube or a box.

Cylinders and spheres don't have lengths or widths, and spheres
don't have heights either.  The formulas for their volumes look different.

Cylinders and spheres both have a 'radius' ... that's the distance from
the center of a circle out to the curved edge of the circle.  In a cylinder,
the circle is what you see when you look at one end of it.  For the sphere,
it's just the distance from the center of the sphere to the surface, because
no matter what direction you cut the sphere, if your cut goes through the
center, then you always get the same circle.

Both formulas also involve the number called 'pi'  (PIE).  It's the number
that always pops up whenever anybody is doing anything with circles
and a lot of other things in math and science.  The thing about 'pi' is
that it's impossible to write its exact value with digits ... the decimal
part of it keeps going and going and never ends.  The beginning
of 'pi' is  3.14159 26535 89792 ... and it just keeps going forever.
In school, most teachers tell you to use 3.14  for pi.  The answers
you get aren't exactly correct, but that's not a big deal, because the
answer is never the important part of the problem in school.  The
important part is that you LEARN HOW to solve the problem and
find the answer.

In math and science writing, when pi has to be written down, it's
usually not written with digits at all.  It's usually written with the
letter from the Greek alphabet called pi.  It looks like this:  π

Now, here are the formulas you asked for, for the volumes of cylinders
and spheres:

<u>For a cylinder:</u>        <em>V =  π R² H</em>

              Volume = (pi) x (square of the radius) x (height of the cylinder)

                           square of the radius means ( R x R )


<u>For a sphere:</u>          <em>V = (4/3) π R³</em>

               Volume = (4/3) x (π) x (cube of the radius)

                                       cube of the radius means ( R x R x R )

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Answer:

Maximum height of quarter tower = 9.6 inches.

Step-by-step explanation:

The thickness of a quarter = \frac{1}{5} inches

Weight of a quarter = 1 ounce

The maximum weight that could safely hold = 3 pounds.

<u>The conversion factor for ounce to pound is 1 ounce = 0.0625 pound</u>

The number of quarter used in the tower = no of ounces equivalent to 3 pounds.

No of ounces equivalent to 3 pounds = \frac{3}{0.0625}

No of ounces equivalent to 3 pounds = 48

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3 years ago
Probability word problem
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Answer:

see below

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A can speak french

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Nicole sold 1 cherry pie and 9 pumpkin pies for $60. Lisa sold 11 cheery pies and 4 pumpkin pies for $90. what's the cost each o
zubka84 [21]
X= cost per cherry pie
y= cost per pumpkin pie

NICOLE
1x + 9y= $60

LISA
11x + 4y= $90


STEP 1
multiply Nicole's equation by -11

-11(1x + 9y)= -11($60)
multiply -11 by all terms

(-11 * x) + (-11 * 9y)= (-11 * 60)

-11x - 99y= -660


STEP 2
add Nicole's new equation from step 1 to Lisa's equation to solve for y (using the elimination method)

-11x - 99y= -660
11x + 4y= 90
the x terms "cancel out"

-95y= -570
divide both sides by -95

y= $6 per pumpkin pie


STEP 3
substitute y value into either original equation to solve for x

x + 9y= $60

x + 9(6)= 60

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subtract 54 from both sides

x= $6 per cherry pie


CHECK
11x + 4y= $90
11(6) + 4(6)= 90
66 + 24= 90
90= 90


ANSWER: Each cherry pie costs $6 and each pumpkin pie costs $6.

Hope this helps! :)
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