MCQ
In a cylinder, if radius is halved and height is doubled, the volume will be:
- ASame.
- BDoubled.
- ✓Halved.
- DFour times.
✓
Answer
Correct option: C.
Halved.
Volume of cylinder $\text{V}=\pi\text{r}^2\text{h}$
If $\text{r}'=\frac{\text{r}}{2}$ and $\text{h}'=2\text{h}$ then
Then $\text{V}'=\pi\Big(\frac{\text{r}}{2}\Big)^22\text{h}$
$=\frac{\pi\text{r}^2}{\not4_2}\times\not2\text{h}$
$\frac{\pi\text{r}^2\text{h}}{2}=\frac{\text{V}}{2}$
If $\text{r}'=\frac{\text{r}}{2}$ and $\text{h}'=2\text{h}$ then
Then $\text{V}'=\pi\Big(\frac{\text{r}}{2}\Big)^22\text{h}$
$=\frac{\pi\text{r}^2}{\not4_2}\times\not2\text{h}$
$\frac{\pi\text{r}^2\text{h}}{2}=\frac{\text{V}}{2}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Write the correct answer in the following:
The length of the longest pole that can be put in a room of dimensions $(10m × 10m × 5m)$ is:
→The length of the longest pole that can be put in a room of dimensions $(10m × 10m × 5m)$ is:
Write the correct answer in the following: The radius of a sphere is $2r,$ then its volume will be;
→It is given that $\triangle\text{ABC} ≅\triangle\text{FDE}$ and $AB = 5\ cm$, $\angle\text{B} = 40^\circ$ and $\angle\text{A} = 80^\circ$ Then which of the following is true?
→Write the correct answer in the following: If one of the angles of a triangle is $130^\circ$, then the angle between the bisectors of the other two angles can be.
→→
If $p(x) = x + 4$ then $p(x) + p(-x) = ?$
→In a $\triangle A B C$, it is given that $\angle A: \angle B: C=3: 2: 1$ and $\angle A C D=90^{\circ}$. If $B C$ is produced to $E$, then $\angle E C D=$
→If $x^{101}+101$ is divided by $x+1$, then the remainder is
→If $a^2 + b^2 + c^2 = 30$ and $a + b + c = 10,$ then the value of $ab + bc + ca$ is:
→If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point Phas