The Volume of cylinder is 3770 cubic millimeters
But, the correct option is not available in options given.
Step-by-step explanation:
Height of cylinder = 3mm
Diameter of cylinder = 40mm
Volume of cylinder = ?
The formula used to find Volume of cylinder is:
Putting values in the formula:
Since we need radius,
radius = diameter/2
radius = 40/2
radius = 20 mm
So,
The Volume of cylinder is 3770 cubic millimeters
But, the correct option is not available in options given.
Keywords: Volume of cylinder
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This can help you
a) since it is discrete we need to think about the sum thing
it it was continuous we would look at an integral thing
so I think if I remember correctly we need to find c such that
<span><span>∑<span>i=0</span>3</span>c(<span>x2</span>+4)=1
b) </span>
problem b is a similar setup
The answer is 94.5x because you have to multiply 2.1 times 4.5
The dimensions of the enclosure that is most economical to construct are; x = 14.22 ft and y = 22.5 ft
<h3>How to maximize area?</h3>
Let the length of the rectangular area be x feet
Let the width of the area = y feet
Area of the rectangle = xy square feet
Or xy = 320 square feet
y = 320/x -----(1)
Cost to fence the three sides = $6 per foot
Therefore cost to fence one length and two width of the rectangular area
= 6(x + 2y)
Similarly cost to fence the fourth side = $13 per foot
So, the cost of the remaining length = 13x
Total cost to fence = 6(x + 2y) + 13x
Cost (C) = 6(x + 2y) + 13x
C = 6x + 12y + 13x
C = 19x + 12y
From equation (1),
C = 19x + 12(320/x)
C' = 19 - 3840/x²
At C' = 0, we have;
19 - 3840/x² = 0
19 = 3840/x²
19x² = 3840
x² = 3840/19
x = √(3840/19)
x = 14.22 ft
y = 320/14.22
y = 22.5 ft
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