Question

An iron cylinder of length $10\text{cm}$ has a diameter of $8\text{cm}$. What is the volume of the cylinder?

• A. $500.24{\text{cm}}^3$
• B. $500.85{\text{cm}}^3$
• C. $502.85{\text{cm}}^3$
• D. $2011{\text{cm}}^3$

Answer 1

The correct option is C $502.85{\text{cm}}^3$

Given:
The diameter of the cylinder, $\text{d}=8\text{cm}$
So, the radius of the cylinder,$\text{r}=\frac{\text{d}}{2}$
$\Rightarrow$ $\frac{8}{2}=4\text{cm}$

The height of the cylinder, $\text{h}=10\text{cm}$

The volume of the cylinder $=\pi {\text{r}}^2\text{h}$
$\Rightarrow \frac{22}{7}\times 4\times 4\times 10=\frac{3520}{7}$
$=502.85{\text{cm}}^2$