Solve {l}{(22/7*7/2*7/2*16)cm^3=616cm^3}{text{ofthecylinder}}{quad=2pi(r+h)}{quad=[2*22/7*frac{7}{2}*(3.5+16)]cm^2}

$$\left. \begin{array} { l } { ( \frac { 22 } { 7 } \times \frac { 7 } { 2 } \times \frac { 7 } { 2 } \times 16 ) cm ^ { 3 } = 616 cm ^ { 3 } } \\ { \text { of the cylinder } } \\ { \quad = 2 \pi ( r + h ) } \\ { \quad = [ 2 \times \frac { 22 } { 7 } \times \frac { 7 } { 2 } \times ( 3.5 + 16 ) ] cm ^ { 2 } } \end{array} \right.$$

Solve for c, m (complex solution)

$$c\in \mathrm{C}$$

$$m\in \mathrm{C}$$

Solution Steps

Multiply \frac{22}{7} and \frac{7}{2} to get 11.

$$11\times \frac{7}{2}\times 16cm^{3}=616cm^{3}$$

Multiply 11 and \frac{7}{2} to get \frac{77}{2}.

$$\frac{77}{2}\times 16cm^{3}=616cm^{3}$$

Multiply \frac{77}{2} and 16 to get 616.

$$616cm^{3}=616cm^{3}$$

Subtract 616cm^{3} from both sides.

$$616cm^{3}-616cm^{3}=0$$

Combine 616cm^{3} and -616cm^{3} to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any c.

$$c\in \mathrm{C}$$

Solve for c, m

$$c\in \mathrm{R}$$

$$m\in \mathrm{R}$$

Solution Steps

Multiply \frac{22}{7} and \frac{7}{2} to get 11.

$$11\times \frac{7}{2}\times 16cm^{3}=616cm^{3}$$

Multiply 11 and \frac{7}{2} to get \frac{77}{2}.

$$\frac{77}{2}\times 16cm^{3}=616cm^{3}$$

Multiply \frac{77}{2} and 16 to get 616.

$$616cm^{3}=616cm^{3}$$

Subtract 616cm^{3} from both sides.

$$616cm^{3}-616cm^{3}=0$$

Combine 616cm^{3} and -616cm^{3} to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any c.

$$c\in \mathrm{R}$$