Which best describes the relationship among the volumes of hemisphere X, cylinder Y, and cone Z?

A. The sum of the volumes of X and Y equals the volume of Z.

B. The sum of the volume of X and Z equals the volume of Y.

C. The difference of the volumes of Z and Y equals the volume of X.

D. The difference of the volumes of X and Z equals the volume of Y.

B. The sum of the volume of X and Z equals the volume of Y.

Step-by-step explanation:

To solve the problem, we calculate the volume of the three solids, and then we compare them.

The volume of X is the volume of a hemisphere of radius r, which is half the volume of a sphere of radius r, so:

The volume of Y is the volume of a cylinder of radius r and height

h = r

so it is given by the formula:

Finally, the volume of Z is the volume of a cone of radius r and height

h = r

So the volume is given by

So we see that the correct option is

B. The sum of the volume of X and Z equals the volume of Y.

In fact:

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation:

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

you