Question

The diameter d of a sphere is twice the radius r. The volume of the sphere as a function of its radius is given by v(r)= 4/3(3.4)(r)^3

A) write the diameter d of the sphere as a function of the radius

Answer 1

The diameter d of the sphere as a function of the radius is given by

`d(r) = 2* r`

Explanation:

Given:

The volume of the sphere as a function of its radius is given by

`v(r)= (4)/(3)* (3.14)(r)^(3)`

Function:

A function is like a machine that gives an output for a given input.

A function has an independent variable which is called the input of the function.

The output for a given input is called the dependent variable.

Here. 'r' is the radius of a sphere independent variable

d(r) is the function dependent variable i.e Diameter as a function of radius as an output.

∴ d ( r ) = 2 r