Solve 11quadDquadV=4/3pir^3

$$1 1 \quad D \quad V = \frac { 4 } { 3 } \pi r ^ { 3 }$$

Solve for D (complex solution)

$$\left\{\begin{matrix}D=\frac{4\pi r^{3}}{3V}\text{, }&V\neq 0\\D\in \mathrm{C}\text{, }&r=0\text{ and }V=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 1 and 1 to get 1.

$$DV=\frac{4}{3}\pi r^{3}$$

The equation is in standard form.

$$VD=\frac{4\pi r^{3}}{3}$$

Divide both sides by V.

$$\frac{VD}{V}=\frac{4\pi r^{3}}{3V}$$

Dividing by V undoes the multiplication by V.

$$D=\frac{4\pi r^{3}}{3V}$$

Solve for V (complex solution)

$$\left\{\begin{matrix}V=\frac{4\pi r^{3}}{3D}\text{, }&D\neq 0\\V\in \mathrm{C}\text{, }&r=0\text{ and }D=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 1 and 1 to get 1.

$$DV=\frac{4}{3}\pi r^{3}$$

The equation is in standard form.

$$DV=\frac{4\pi r^{3}}{3}$$

Divide both sides by D.

$$\frac{DV}{D}=\frac{4\pi r^{3}}{3D}$$

Dividing by D undoes the multiplication by D.

$$V=\frac{4\pi r^{3}}{3D}$$

Solve for D

$$\left\{\begin{matrix}D=\frac{4\pi r^{3}}{3V}\text{, }&V\neq 0\\D\in \mathrm{R}\text{, }&r=0\text{ and }V=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 1 and 1 to get 1.

$$DV=\frac{4}{3}\pi r^{3}$$

The equation is in standard form.

$$VD=\frac{4\pi r^{3}}{3}$$

Divide both sides by V.

$$\frac{VD}{V}=\frac{4\pi r^{3}}{3V}$$

Dividing by V undoes the multiplication by V.

$$D=\frac{4\pi r^{3}}{3V}$$

Solve for V

$$\left\{\begin{matrix}V=\frac{4\pi r^{3}}{3D}\text{, }&D\neq 0\\V\in \mathrm{R}\text{, }&r=0\text{ and }D=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 1 and 1 to get 1.

$$DV=\frac{4}{3}\pi r^{3}$$

The equation is in standard form.

$$DV=\frac{4\pi r^{3}}{3}$$

Divide both sides by D.

$$\frac{DV}{D}=\frac{4\pi r^{3}}{3D}$$

Dividing by D undoes the multiplication by D.

$$V=\frac{4\pi r^{3}}{3D}$$