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Kamila [148]
3 years ago
14

The volume of a can (right circular cylinder) is 10 cubic feet. the curved surface area is the area of the side. write the curve

d surface area s as a function of the radius r. s =
Mathematics
1 answer:
natka813 [3]3 years ago
4 0

The volume formula of a cylinder is given as:

V = π r^2 h

So plugging in the value of the volume:

10 ft^3 = π r^2 h

<span>h = 10 / (π r^2)  ---> eqtn 1</span>

 

The formula for the surface area of cylinder is:

s = 2 π r h + 2 π r^2

plugging in eqtn 1:

s = 2 π r [10 / (π r^2)] + 2 π r^2

<span>s = (20 / r) + 2 π r^2                         (ANSWER)</span>

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Which point is a solution
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Answer:

A

Step-by-step explanation:

To determine which point is a solution, substitute the x- coordinate into the right side of the inequality and compare it's value to the y- coordinate of the point.

A (0, 2)

2x - 1 = 0 - 1 = - 1 → 2 ≥ - 1 ⇒ (0, 2) is a solution

B (4, 1)

2x - 1 = (2 × 4) - 1 = 8 - 1 = 7 →  1 < 7 ⇒ (4, 1) is not a solution

C (0, - 10)

2x - 1 = 0 - 1 = - 1 → - 10 < - 1 ⇒ (0, - 10) is not a solution

D (4, 2)

2x - 1 = (2 × 4) - 1 = 8 - 1 = 7 → 2 < 7 ⇒ (4, 2) is not a solution

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3 years ago
THIS IS VERY IMPORTANT!
tatyana61 [14]

Answer:

I think Leslie Is 20

Step-by-step explanation:

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boeing plans to increase its price for jetliners. with a selling price $201.5 million and a cost of $190.1 million, what was the
scoray [572]

so from 190.1 to 201.5 is 201.5 - 190.1 = 11.4.

now, if we take 190.1 as the 100%, what is 11.4 off of it in percentage?

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 190.1&100\\ 11.4&x \end{array}\implies \cfrac{190.1}{11.4}=\cfrac{100}{x}\implies 190.1x=1140 \\\\\\ x=\cfrac{1140}{190.1}\implies x\approx 5.99684

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Find an equation of the line l that passes through the point (x, y) = (−9, 2) and satisfies the condition. the x-intercept of l
spayn [35]
-9(2)+4=-16 you do -9 times 2 which is -18 then you subtract that to 4 which you get -16. hope this helps!

3 0
3 years ago
Identify the volume of the composite figure, rounded to the nearest tenth. PLEASE HELP!!!
Anni [7]

Answer:

The volume of the composite figure is:

  • <u>312 ft^3</u>

Step-by-step explanation:

To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.

<em>VOLUME OF THE CUBE. </em>

Finding the volume of a cube is actually simple, you only must follow the next formula:

  • Volume of a cube = base * height * width

So:

  • Volume of a cube = 6 ft * 6 ft * 6 ft
  • <u>Volume of a cube = 216 ft^3 </u>

<em>VOLUME OF THE PYRAMID. </em>

The volume of a pyramid with a square base is:

  • Volume of a pyramid = 1/3 B * h

Where:

<em>B = area of the base. </em>

<em>h = height. </em>

How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:

  • Volume of a pyramid = 1/3 36 ft^2 * 8 ft
  • <u>Volume of a pyramid = 96 ft^3 </u>

Finally, we add the volumes found:

  • Volume of the composite figure = 216 ft^3 + 96 ft^3
  • <u>Volume of the composite figure = 312 ft^3</u>
5 0
3 years ago
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