Question

I need someone who KNOWS math, who knows how to actually do it. Not look up answers, not guessing. They have to be 100 percent sure they can help me.

Answer 1

The cylinders are similar. The volume of the larger cylinder is 3215.36 cubic inches.
What is the volume of the smaller cylinder?
A. 50.24 in³
B. 200.96 in³
C. 401.92 in³
D. 803.84 in³

Answer 2

Hello? 0_0

Answer 3

Volume of a cylinder = PI * r^2 * h.

The cylinders are similar so we can assume that they are scaled. The height is scaled 16:4. So the smaller cylinder is 1/4 the height of the larger one. The radius is also scaled 1:4 then because they're similar.

SO, using the volume formula in an abstract way, the only things that vary are the radius and height. But the radius change is SQUARED. So for the smaller cylinder: V = PI * (r/4)^2 * (h/4)

The factor the volume of smaller square would be (1/4)^2 * (1/4) taking into consideration of BOTH the HEIGHT AND THE RADIUS. This factor is 1/64. So the volume of the smaller cylinder is 1/64th the volume of the larger cylinder.

This is logical to me. Hope it helps.

Answer 4

so ok which one do u think it is??

Answer 5

My initial ratio of 16:4 is backwards. It should be 4:16 to represent smaller cylinder:larger cylinder.

Answer 6

You tell me. I just basically answered the question.

Answer 7

C

Answer 8

What's your logic behind that answer?

Answer 9

I was looking at this as well. I think there could be more information. even though the cylanders are a 4:1 ratio in height, there is nothing saying they have exactly the same bases. Is the picture drawn to scale?

Answer 10

I wrote it word for word @arsenkasparian

Answer 11

The mathematical definition of similarity is clear and would suggest the answer is A.

Answer 12

I agree it is A, just saying it could be a bit ambiguous.

Answer 13

And, logically speaking, if they weren't similar (meaning they aren't to scale), you'd never find out anything with the information given.

Similarity means scaling in the mathematical world.