Question

M is proportional to the cube of r. when r=3m,m=216.when r=5 find the value of m

Answer 1

Answer:

The value of m is 1000 for r=5

Step-by-step explanation:

Given that m is proportional to the cube of r

It can be written as:

$m \propto\ r^3$

When the proportionality symbol is removed a proportionality constant is introduced in the equation.

Let k be the proportionality constant

$m = kr^3$

Given

r=3,m=216

Putting the values

$216 = k(3)^3\\216 = k * 27\\k = \frac{216}{27}\\k = 8$

The equation will now become

$m = 8r^3$

Putting r = 5

$m = 8(5)^3\\m = 8 * 125\\m = 1000$

Hence,

The value of m is 1000 for r=5