What is the volume of the shaded portion of the composite figure? express your answer in terms of π.

a.519π units3
b.681π units3
c.(600π – 81) units3
d.(600 – 81π) units3

we know that

The volume of the shaded portion of the composite figure is equal to the volume of a rectangular pyramid minus the volume of a cone

so

Step

Find the volume of a cone

volume of the cone is equal to

where

r is the radius of the cone

h is the height of the cone

in this problem

Substitute in the formula above

Step

Find the volume of a rectangular pyramid

Volume of a rectangular pyramid is equal to

where

B is the area of the base

h is the height of the pyramid

in this problem

Substitute in the formula above

Step

Find the volume of the shaded portion of the composite figure

therefore

the answer is

Find the volume of the shaded portion of the composite figure is

i get you, what you should do is think of the positive things that would come out of it. it will make yours parents proud and raise your grade. you should always try and if you can't focus tell the teacher.

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)