Acone has a volume of 50π in3 and a diameter of 10 in. wilson states that a cylinder with the same height and diameter has the same volume. which statement explains whether or not wilson is correct?

  A cylinder in which h = 6 and d = 10 has a volume of 150π in³, therefore, Wilson is incorrect.

Step-by-step explanation:

You know that the cylinder has 3 times the volume of a cone of the same diameter and height, so only the last two answer choices make any sense. In order to determine which one, we must find the height of either figure.

The volume of the cylinder is ...

  V = πr²h = (π/4)d²h = π/4·(10 in)²h = 150π

  h = 150π/(25π) = 6 . . . . inches

The height of the cylinder/cone is 6 inches, so the last answer choice pertains:

 A cylinder in which h = 6 and d = 10 has a volume of 150π in³, therefore, Wilson is incorrect.

if the diameter of the cone is 10, then its radius is half that or 5.

so then, a cone with that volume and radius has a height of 6.  However, a cylinder also with a radius of 5 and a height of 6, has a volume of 150π.

15 units use socratic

step-by-step explanation: 15 units

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!