Acone has a volume of 144π in3 and a diameter of 12 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 = 12 and d = 12 has a volume of 144π in3; therefore, wilson is correct.
a cylinder in which h = 4 and d = 12 has a volume of 144π in3; therefore, wilson is correct.
a cylinder in which h = 12 and d = 12 has a volume of 432π in3; therefore, wilson is incorrect.
a cylinder in which h = 4 and d = 12 has a volume of 432π in3; therefore, wilson is incorrect.

Option C.

Step-by-step explanation:

A cone has a volume = 144π in³ and diameter = 12 in

Since formula for the volume of a cone =

144π =

144π = 12πh

h =

h = 12 in

Now we will calculate the volume of cylinder with diameter = 12in and height = 12 in.

Volume of cylinder =

V =

V = 432 in³

Therefore, Option C. explains the statement that the cylinder having h = 12 and d = 12in has the volume of 432 in³.

if the diameter of the cone is 12, then its radius is half that, or 6 units.

so a cylinder with a height of 12 and a diameter of 6 will have that volume, thus Wilson is incorrect.

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation:

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step-by-step explanation: