I just got introduced to the Dirac delta function and one of the questions was to express volume charge density $\rho(r)$ of a point charge $q$ at origin. I saw that the answer is related to Dirac delta function as: $$\rho(r) = q \delta^3(r)$$ where $\delta(r)$ is the Dirac Delta function. Why is it so?

I just got introduced to the Dirac delta function and one of the questions was to express volume charge density $\rho({\bf r})$ of a point charge $q$ at origin. I saw that the answer is related to Dirac delta function as: $$\rho({\bf r}) = q \delta^3({\bf r})$$ where $\delta^3({\bf r})$ is the 3-dimensional Dirac Delta function. Why is it so?

I just got introduced to Dirac delta function and one of the questions was to express volume charge density  $\rho(r)$ of a point charge $q$ at origin. I saw that the answer is related to Dirac delta function as: $$\rho(r) = q \delta(r)^3$$ where $\delta(r)$ is the Dirac Delta function. Why is it so?

I just got introduced to the Dirac delta function and one of the questions was to express volume charge density  $\rho(r)$ of a point charge $q$ at origin. I saw that the answer is related to Dirac delta function as: $$\rho(r) = q \delta^3(r)$$ where $\delta(r)$ is the Dirac Delta function. Why is it so?

I just got introduced to Dirac Delta function and one of the questions was to express volume charge density rho(r) of a point charge q at origin. I saw that the answer is related to Dirac Delta function as: rho(r) = q*delta^(3)(r) where delta(r) is the Dirac Delta function. Why is it so? Can someone clarify it for me? This has got me so confused.

I just got introduced to Dirac delta function and one of the questions was to express volume charge density $\rho(r)$ of a point charge $q$ at origin. I saw that the answer is related to Dirac delta function as: $$\rho(r) = q \delta(r)^3$$ where $\delta(r)$ is the Dirac Delta function. Why is it so?