Step-by-step explanation:
there's no picture???
Answer:h = y^2 / 27
Step-by-step explanation:
Volume of a cylinder = pi*(xx)^2*yy
= x^4*pi*yy
Volume of a cone = 1/3*pi*(9x^2)^2*h
= 27pi*x^4*h
x^4*pi*y^2 = 27pi*x^4*h
h = y^2 / 27
Explanation:
Linear escale factor 1.
In this case the original volume of the parallelepiped is:

24 cubic units and the new volume must be:

So in this case the ratio of volumes is 1:1
Linear escale factor 2.
In this case the original volume of the parallelepiped is the same: 24 cubic units.
The new voume must be:

So in this case the ratio of volumes is 24:192, that is 1:8
Linear escale factor 3.
In this case the original volume of the parallelepiped is the same: 24 cubic units.
The new voume must be:

So in this case the ratio of volumes is 24:648, that is 1:27
Linear escale factor 4.
In this case the original volume of the parallelepiped is the same: 24 cubic units.
The new voume must be:

So in this case the ratio of volumes is 24:1536, that is 1:64
Linear escale factor r.
In this case the original volume of the parallelepiped is the same: 24 cubic units.
The new voume must be:

So in this case the ratio of volumes is 24:24r^3, that is:
One prism with a volume of 2400 might have a rectangular base with a length of 4 and a width of 5, as well as a height of 120.
V = l x w x h
V = 4 x 5 x 120
V = 2400
This prism would essentially look like a really tall rectangle, since the height is such a large number. I wouldn't accurately represent the units on graph paper, if I were you. Just label the sides with the numbers I gave you.
Another prism with a volume of 2400 might be a rectangular prism with a length of 8, a width of 10, and a height of 30.
V = l x w x h
V= 8 x 10 x 30
V = 2400
This would also be a tall rectangle, although it isn't as tall. Keep in mind that l x w x h is only the volume formula for a rectangular prism. I only used rectangular prisms because they would be the easiest for this example. A triangular prism has a different volume formula.