A cone has a volume of 9π in3 and a diameter of 6 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. A cylinder in which h = 1 and d = 6 has a volume of 27π in3; therefore, Wilson is correct.
B. A cylinder in which h = 3 and d = 6 has a volume of 27π in3; therefore, Wilson is incorrect.
C. A cylinder in which h = 1 and d = 6 has a volume of 9π in3; therefore, Wilson is incorrect.
D. A cylinder in which h = 3 and d = 6 has a volume of 9π in3; therefore, Wilson is correct.

B. A cylinder in which h = 3 and d = 6 has a volume of 27π in3; therefore, Wilson is incorrect.

Step-by-step explanation:

step 1

Find the height of the cone

The volume of the cone is equal to

substitute the given values

simplify

step 2

Find the volume of the cylinder

The volume is equal to

substitute the given values

step 3

Compare the volumes

The volumes are not equal

step-by-step explanation:

in which figure is point g a centroid

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: