Find the volume of a sphere with a diameter 40 cm in length. approximate pi as 3.14 and round your answer to the nearest tenth. a. 5,026.5 cm3 b. 33,493.3 cm3 c. 42,090.0 cm3 d. 268,082.6 cm3

Option B.

Step-by-step explanation:

we know that

The volume of the sphere is equal to

we have

----> the radius is half the diameter

substitute the values

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

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