IDNLearn.com is designed to help you find accurate answers with ease. Our experts are available to provide accurate, comprehensive answers to help you make informed decisions about any topic or issue you encounter.
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:
[tex]m \propto\ r^3[/tex]
When the proportionality symbol is removed a proportionality constant is introduced in the equation.
Let k be the proportionality constant
[tex]m = kr^3[/tex]
Given
r=3,m=216
Putting the values
[tex]216 = k(3)^3\\216 = k * 27\\k = \frac{216}{27}\\k = 8[/tex]
The equation will now become
[tex]m = 8r^3[/tex]
Putting r = 5
[tex]m = 8(5)^3\\m = 8 * 125\\m = 1000[/tex]
Hence,
The value of m is 1000 for r=5