Question

Solve the problem as directed.

The volume (v) of a sphere varies directly as the cube of its diameter (d). Write this statement in algebraic language, using an equation with the variables c, v, and d. C=???

Answer 1

The volume (v) of a sphere varies directly as the cube of its diameter (d)

Direct variation means v= c d^3 where c is a constant.
and d is the diameter

If you know the formula for the volume of a sphere (see above post)
V = (4/3) * pi * r^3 or (replace r with d/2)
V= ( pi/ 6 ) * d ^3

match
V= ( pi/ 6 ) * d ^3
with ^
|
V = c * d^3
to find the exact value for c

Answer 2

What?

Answer 3

V = (4/3) * pi * r^3

V = (4/3) * pi * (d/2) ^ 3

V = (4/3) * pi * d^3/ 8

V =( pi/ 6 ) * d ^3

Answer 4

C should be a constant; not a variable in the equation.

You can find the value of C by using the formula: Volume of Sphere = (4/3)*pi*(Radius)^3 where Radius = Diameter/2.

Answer 5

I don't understand