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denpristay [2]
3 years ago
13

A can in the shape of a right circular cylinder is required to have a volume of 500 cubic centimeters. The top and bottom are ma

de of a material that costs 11 cents per square​ centimeter, while the sides are made of a material that costs 8 cents per square centimeter. Express the total cost C of the material as a function of the radius r of the cylinder.
Mathematics
1 answer:
borishaifa [10]3 years ago
3 0

Answer:

The answer to the question is

The total cost C of the material as a function of the radius r of the cylinder is

0.6912·r² + 800/r Dollars.

Step-by-step explanation:

To solve the question, we note that

The area of the top and bottom combined  = 2·π·r²

The area of the sides = 2·π·r·h

and the volume = πr²h = 500 cm²

Therefore height = 500/(πr²)

Substituting the value of h into the area of the side we have

Area of the side = 2πr·500/(πr²) = 1000/r

Therefore total area of can = Area of top + Area of bottom + Area of side

Whereby the cost of the can = 0.11×Area of top +0.11×Area of bottom +0.8×Area of side

Which is equal to

0.11×2×π×r²+ 0.8×1000/r = 0.6912·r² + 800/r

The cost of the can is $(0.6912·r² + 800/r)

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3 years ago
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Answer:

  F.  x(y +12)

Step-by-step explanation:

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2 years ago
Find the measure of each angle :Supplementary angles with measures (2x+4) and (3x+1)
denpristay [2]
First of all, we need to know what is supplementary angle is. It's means that two angles add together to get 180° angle. For examples, 135° and 45° angles add together called supplemtary angles.
Now, we know Supplementary angles with measures (2x+4) and (3x+1), so
(2x+4)+(3x+1)=180
2x+4+3x+1=180
Combining like terms
2x+3x+4+1=180
5x+5=180
Subtract 5 to each side
5x+5-5=180-5
5x=175
Divided 5 to each side
5x/5=175/5
x=35°
Next, find the measure of two angles by substitute x=35° with (2x+4) and (3x+1), so
2x+4
=2(35)+4
=70+4
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(3x+1)
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=105+1
=106°. As a result, the two supplementary angle are 106° and 74°. Hope it help!
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2 years ago
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Step-by-step explanation:

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1 year ago
The perimeter of the rectangle playing field is 432 yards the length of the field is 4 yards less than triple the width The peri
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Answer:

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432=2(3w-8)+2(w)

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432=8w-16

432+16=8w

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l=3(56)-8

l=168-8=160yards

4 0
2 years ago
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