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

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

$119.20

step-by-step explanation:

$372.50 - 60% off is $149. $149-20% off is $119.20