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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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Find the vertex, focus, and directrix. y = 1/24(x+1)² - 3.

Vedmedyk [2.9K]

$y = \frac{1}{24}(x+1)^2 - 3\\\\y+3 =\frac{1}{24}(x+1)^2\ \ / *24\\\\ (x+1)^2 = 24(y+3)$

This is an equation of a parabola that opens upwards.

$Its \ standard \ form: \\(x-h)^2=4p(y-k)\\ (h,k)=(x,y) \ coordinates \ of \ the \ vertex\\\ (h,k)=(-1,-3) \\\\axis \ of \ symmetry: \ x= -1\\ \\4p=24\ \ /:4\\p=6$

$focus:(h,k+p)=(-1,-3+6)=(-1,3) \\ \\directrix: \ y=k-p=-3-6=-9$

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3 years ago

Read 2 more answers

Find the graph of y=-3/4X-2

morpeh [17]

To graph the line $y=- \frac{3}{4}x-2$ we are going to take advantage of the fact that its y-intercept is -2 when x=0, so our first point is (0,-2). To find our second point, we are going to find the x-intercept; to do it, we are going to set y=0 and solve for x:
$y=- \frac{3}{4}x-2$
$0=- \frac{3}{4}x-2$
$2=- \frac{3}{4}x$
$x= \frac{2}{- \frac{3}{4} }$
$x=- \frac{8}{3}$
Now that we have our second point $(0,- \frac{8}{3} )$ , we just need to join our two points with a straight line.

We can conclude that the graph of <span>y=-3/4X-2 is:</span>

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3 years ago

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Answer:

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Step-by-step explanation:

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