What is the volume of a sphere that has a diameter of 18 in.? use 3.14 to approximate pi and express your answer in hundredths.

 A) Diameter = 18"
Circumference = pi x Diameter = pi x 18 = 56.52"
Area = pi x radius^2 = pi x 81 = 254.34 sq. inches

B) Radius = 5 cm
Circumference = pi x Diameter = 10pi cm
Area = pi x radius^2 = 25pi square cm

C) Area = 64pi square cm
Radius = 8 cm
Diameter = 16 cm
Circumference = pi x Diameter = 16pi cm

OR (in case you wanted it exactly as you wrote it)

Area = 64 square cm
Radius = 4.51 cm
Diameter = 9.03 cm
Circumference = pi x Diameter = 28.35 cm

D) Diagonal = Diameter = sq root of (a^2 + b^2) = sq root (81+144) = 15 cm
Circumference = pi x Diameter = 47.10 cm
Area = pi x radius^2 = 23.55 square cm

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step-by-step explanation:

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: