A cylinder and a cone have equal volumes, the ratio of their heights is 3 1, and the ratio of their

Hello. The ratio of their base area is 1:9

Principle. In the case of equal heights. The cylinder should be equal in volume to the cone. The base area of the cone must be three times that of the cylinder.

But what is given here is that the height of the cylinder and the height of the cone are 3:1, so the base area of the cone must be 9 times the base area of the cylinder to be equal. So the answer is 1:9

Dear, if you approve of me, please click the [for satisfaction] button--- friends who ask questions on the mobile phone can comment on the upper right corner of the client []. It is not easy to answer the question, please think carefully about it.

If you don't understand, please keep asking! Know the [ID:TB network].

Let the bottom area and height of the cylinder be s1 and h1 respectively, and the base area and height of the cone be s2 and h2 respectively, then the volume v1 of the cylinder and the volume v2 of the cone are respectively.

v1=s1*h1,v2=s2*h2/3

And because the ratio of the base area is s1:s2=3:1, so s1=3s2, which is equal according to the volume.

s1*h1=s2*h2 3, that is, 3s2*h1=s2*h2 3 solution gives h1:h2=1:9

Let the area at the bottom of the column be s, and the area at the bottom of the cone be z, and the meaning of the title is: 3s=1 3 z 1 simplification s ratio z=1:9

The height of the cylinder is h1, the height of the cone is h2, and the ratio of the bottom area of a cylinder to a cone is 3:2

Let the bottom area of the cylinder be 3s, and the bottom area of the cone is 2s, then the volume of the cylinder is 3s*h1

The volume of the cone is 1 3*2s*h2

That is, 3s*h1=1 3*2s*h2

That is, 9s*h1=2s*h2

i.e. 9h1 = 2h2

i.e. the first comma h1 h2 = 2 9

i.e. h1:h2=2:9

Due to the equal volume, the base area of the cylinder is again 3 times that of the cone.

The volume of a cylinder of equal height is 3 times that of the cone, and if their base area is equal, the height of the cone must be 3 times that of the cylinder, so that the ratio of their height is 1:3. However, the base area of the cylinder is 3 times that of the cone, so 3 3 = 9, and the ratio of their heights is.

Hope it helps, >

According to the fact that "the volume of the cylinder is three times that of a cone of equal height to its base", it is known to be 1:9

The volume ratio of a cylinder and a cone of equal height is 3:1

If you don't understand, you can ask me again, thank you.

The volume ratio is.

Because when the base area is equal, the volume of the cylinder is three times that of the cone.

And now the base area is 2 times and the height is 3 times.

So the total is 2*3*3=18 times.

Pure hand-played, begging to adopt.

1:3*3*2

Because when the base area is equal, the volume of the cylinder is three times that of the cone.

And now the base area is 2 times and the height is 3 times.

So the total is 2*3*3=18 times.

(1/2)(1/3)(1/3)

In the case of the same base and equal height, the cone is 1 3) of the volume of the cylinder

Cone volume = base area x height x 1 3

Cylindrical volume = base area x height.

So the volume of the cone: the volume of the cylinder = 3x1 3:2 = 1:2

The volume of the cone = 3 * h * 1 3

Volume of the cylinder = 2*h

So their volume ratio is 1:2

List method: v s h column 1 3 1 3 = one-third cone 1 1 1 3 1 = 3h column: h cone = one-third:

Answer: The ratio of high is 1:9

With the same base area and height, the volume of the cylinder is 3 times that of the cone. Therefore, in the case of the same height, if the ratio of the base area of the two is 3:1, the volume ratio is 9:1, and the ratio of the height needs to be 1:9 to make the volume of the two equal

1:9, because of the contour volume; Cone volume formula: v 1 3sh (v 1 3sh) s is the base area, h is the height, and r is the base radius.

Cylindrical volume = *r 2*l

The volume of the cone = *r 2 * l 3

r^2*l=π*r^2*l/3

r^2/π*r^2=l/3l

3：1=l/3l

l/l=1/9

Cylindrical Base Area: The area of the conical base.

1:3 in 3

I'm glad to answer for you, and I wish you progress in your studies! If you agree with my answer, please click the [Select Satisfactory Answer] button below, thank you If you have any other questions, please ask me for help and answer for you wholeheartedly o( o

A cylinder and a cone are equal in volume, their height ratio is 3:1, and the ratio of their base area is (1:9).

Hope it helps! If you don't understand something, please feel free to ask! Have a nice day!

1：3~~~

I'm sorry, I was excited to read the wrong question, and the upstairs one was right.