Aballoon is the shape of a pencil is shown below. the pencil is made up of a cone and a cylinder. what is the volume, in cubic inches of the pencil balloon

Step-by-step explanation:

we know that

The volume of the figure is equal to the volume of the cone plus the volume of the cylinder

Find the volume of the cone

The volume of the cone is equal to

we have

substitute

Find the volume of the cylinder

The volume of the cylinder is equal to

we have

substitute

Find the area of the figure

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.