Mathematics, 31.08.2019 07:00 villarrealc1987

Ajuice can is 16 cm tall and has a diameter of 9 cm what is the volume of the can

Answers: 2

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From the details in the dimensions we can infer that the can is a cylinder.
To find the surface area of a cylinder, use the following equation:
Surface area = 2πrh+2πr^2
This basically means (2 times pi times radius times height) plus (2 times pi times (radius to the power of 2)).
First, you need to find the radius.
Radius is equal to half the diameter, so in this case, the radius equals 4.5
Filling in the equation:
2π(4.5)(16)+2π(4.5)^2
Solving the equation:
2π = ~6.28
6.28•4.5 = 28.26
28.26•16 = 452.16
Following order of operations, you must first solve the exponents.
4.5^2 = 20.25
6.28 (which is 2π)•20.25 = 127.17
Now just add!
452.16 + 127.17 = 579.33
So the surface area of the juice can is 579.33 cubic centimeters.

Now for the volume!
Formula to find volume of a cylinder:
πr^2h
Fill in the formula:
3.14(4.5^2)(16)
Solve:
4.5^2 = 20.25
3.14•20.25 = 63.585
63.585•16 = 1017.36
That means the volume of the juice can is 1017.36 cubic centimeters.

So the final answer is:
The surface area of the juice can is 579.33 cubic centimeters and the volume is 1017.36 cubic centimeters.

Answer from: saltytaetae

The juice can will be a cylinder
h=16cm
d=9cm
so r=9/2cm
volume of can=pie×r^2×h
=22/7×9/2×9/2×16
=7128/7
=1018.28 cm^3
Area of sheet required to make it is csa of cylinder+2×area of base of cylinder
=2pie×r×h+2×pie×r^2
=2×22/7×9/2×16 + 2×22/7×9/2×9/2
=3168/7+891/7
=4059/7
=579.85cm^2

Answer from: Quest

3.76%

step-by-step explanation:

Answer from: Quest

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

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