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3 years ago

What is the exact volume of the cylinder?

Mathematics

2 answers:

Irina-Kira [14]3 years ago

6 0

The exact volume of the cylinder is 32,169.91 in. cb.

V=(pi)r^2h
V=(pi)16^2(40)
V=(pi)256(40)
V=10,240(pi)
V=32,169.91

Hope this helps! :)

lutik1710 [3]3 years ago

4 0

Well in order to get the answer first, you would the heighth (40) and multiply it by the radius (16) so.....
40 x 16= 640 then
.... V= 640 That is how you find the volume

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The length of one side, s, of a shipping box is s(x) = ^3√2x, where x is the volume of the box in cubic inches. A manufacturer n

almond37 [142]

Answer:

Minimum value: 6 inches,

Maximum value: 8 inches.

Step-by-step explanation:

To find the minimum length of s, we need to use the minimum volume of the shipping box in the equation, so:

s_minimum = ^3√(2*108) = ^3√216 = 6 inches

The maximum value of the volume will give us the maximum value of the length:

s_maximum = ^3√(2*256) = ^3√512 = 8 inches

So the minimum value of the length is 6 inches and the maximum value is 8 inches.

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2 years ago

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ad-work [718]

Answer:

d, 3 5/8

Step-by-step explanation:

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2 years ago

Solve each equation:

omeli [17]

You sure seem to be asking a lot of questions lately. I'd like to see that you've been trying with these problems at least because if you can't get that first one it's almost like you missed the whole lesson.

1. 20 = 4b + 7 + 5
Add the 7 and 5.
20 = 4b + 12
Subtract 12 from each side.
8 = 4b
Divide each side by 4.
2 = b

2. 7 = 6k - 7k
6k - 7k = -1k. (the k acts as a sort of unit)
7 = -1k
Divide each side by -1.
-7 = k

3. 3.23 - 2m = 3 - 2(5m - 2)
Distribute the ×-2 to each term inside the parentheses.
3.23 - 2m = 3 - 10m + 4
Add the 3 and 4.
3.23 - 2m = 7 - 10m
Add 10m to each side.
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Subtract 3.23 from each side.
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Divide by 8.
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4. -88/45=1/3r+2/5r
To get rid of the fractions, let's multiply everything by 45.
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Subtract 15 from each side.
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Divide by 18.
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3 years ago

Define linear relationship

-Dominant- [34]

Answer:

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Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Find the length of the following two-dimensional curve. r (t ) = (1/2 t^2, 1/3(2t+1)^3/2) for 0 < t < 16

andrezito [222]

Answer:

r = 144 units

Step-by-step explanation:

The given curve corresponds to a parametric function in which the Cartesian coordinates are written in terms of a parameter "t". In that sense, any change in x can also change in y owing to this direct relationship with "t". To find the length of the curve is useful the following expression;

$r(t)=\int\limits^a_b ({r`)^2 \, dt =\int\limits^b_a \sqrt{((\frac{dx}{dt} )^2 +\frac{dy}{dt} )^2)} dt$

In agreement with the given data from the exercise, the length of the curve is found in between two points, namely 0 < t < 16. In that case a=0 and b=16. The concept of the integral involves the sum of different areas at between the interval points, although this technique is powerful, it would be more convenient to use the integral notation written above.

Substituting the terms of the equation and the derivative of r´, as follows,

$r(t)= \int\limits^b_a \sqrt{((\frac{d((1/2)t^2)}{dt} )^2 +\frac{d((1/3)(2t+1)^{3/2})}{dt} )^2)} dt$