Question

The volume of a cylinder whose diameter is equal to its height is

Answer 1

Correct option is B. $$\dfrac{\pi h^3}{4}$$

$$\textbf{Step 1: Use Formula for Volume of Cylinder.}$$

$$\text{Distance}= 2r=h$$
$$\therefore \text{r = }\dfrac{\text{h}}{2}$$
$$\text{V = }\pi\times\left(\dfrac{\text{h}}{2}\right)^2\times \text{h}$$ $$\left[\because\textbf{Volume of cylinder} \boldsymbol{= \pi r^2h}\right]$$

$$\Rightarrow \text{V = }$$$$\dfrac{\pi \text{h}^3}{4}$$

$$\textbf{Hence, Option B is correct.}$$