D=M/V solve for V. I know the answer is m/d but is there any other way to do it besides multiplying V so you would get

Dv=M then you divide by D on both sides but what if you multiply by M to get V by itself so

D=M/V so M/V*M cancels out M snd D*M is Dm=V

Why doesn’t that work?

See below

Step-by-step explanation:

To solve for V, we want to first multiply both sides by V, then divide by D.

        [multiply both sides by V]

     [divide both sides by D]

That is the correct answer.

You cannot multiply both sides by M because that would give you M². The whole point is to want to isolate V. In the case of multiplying, you are actually adding more M to the same side. I will demonstrate what it will look like.

      [multiply both sides by M]

Now, you can multiply both sides by M, and still get the right answer, but that just takes more unnecessary steps. When you say "D=M/V so M/V*M cancels out M snd D*M is Dm=V", that is incorrect. M/V*M DOES NOT cancel out M. It create M² instead.

I hope this answered your question. Let me know if you have anymore questions in the comments.

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

ummm seems that u didnt post the attachement !