A cylinder with a radius of 5 ft and a height of 11 ft

Note that where you see the word "Pie" you should replace it with its symbol

First find the area of the circle

Area of circle = Pie × Radius²

Area of circle = Pie × 5²

Area of circle = Pie × 25

Area of circle = 78.54ft²

Now multiply the area by the height to find the volume

78.54 × 11 = 863.94ft³

We can approximate this answer to 864ft³

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is