Mathematics, 19.05.2021 23:50 jasonfavblueandblack

A cone and cylinder each have a height of 10 inches and a radius of 5 inches. If you filled the cone completely with water and poured it into the cylinder. How many times would it take until the cylinder is completely full with water?

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Answer from: 21ghostrider21

The times that would take until the cylinder is completely full with water by the cone are:

3 times.

Step-by-step explanation:

To identify how many times we must fill a cone to fill completely a cylinder with the same height and radius, we must calculate the volume of the two containers and next divide the volume of the cylinder by the volume of the cone. To obtain the volume of the cylinder we can use the next formula:

Volume of a cylinder = $\pi$ * $radius^{2}$ * height

If we replace the values in the formula, we obtain:

Volume of a cylinder = $\pi$ *(5 inches)^2 * 10 inchesVolume of a cylinder = 785.4 inches^3 approximately.

Now, we're gonna calculate the volume of the cone with the next formula:

Volume of a cone = $\frac{\pi*radius^{2}*height }{3}$

As you can see just with the formula, The volume of a cone is three times less than that of a cylinder (because we add the dividend 3 to it), but we're gonna replace and prove it:

Volume of a cone = [ $\pi$ *(5 inches)^2 * 10 inches] / 3Volume of a cone = [785.4 inches^3] / 3Volume of a cone = 261.8 inches^3 approximately.

And, if we divide the two volumes to obtain the times we need to fill the cone to fill completely the cylinder:

Times we need to fill the cone = 785.4 / 261.8Times we need to fill the cone = 3

By this reason, you must fill completely a cone 3 times to fill completely a cylinder with the same radius and height.

Answer from: Quest

the answer is b

step-by-step explanation:

Answer from: Quest

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2 is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes. our only condition is that it passes through the point (-2,5)

A. write an equation of a line that passes through (-2, 5). b. how many different equations could y

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A cone and cylinder each have a height of 10 inches and a radius of 5 inches. If you filled the cone...

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