Question
The height of a cone whose base area and volume are equal numerically is:
✓
Answer
- 3 units
According to the question,
The base area of cone = Volume of a cone
$\Rightarrow\pi\text{r}^2=\frac{1}{3}\pi\text{r}^2\text{h}$
$\Rightarrow\text{h}=3\text{ units}$
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
In an isosceles triangle, if the vertex angle is twice the sum of the base angles, then the measure of vertex angle of the triangle is:
In the given figure, two rays BD and CE intersect at a point A. The side BC of $\triangle\text{ABC}$ have been produced on both sides to points F and G respectively. If $\angle\text{ABF}=\text{x}^\circ,\angle\text{ACG}=\text{y}^\circ$ and $\angle\text{DAE}=\text{z}^\circ$ then z =?
→
- x + y - 180
- x + y + 180
- 180 - (x + y)
- x + y + 360º
If each observation of the data is decreased by 8 then their mean:
The radii of the bases of a cylinder and a cone are in the ratio 3 : 4 and their heights are in the ratio 2 : 3. Then, their volumes are in the ratio:
- 9 : 8
- 8 : 9
- 3 : 4
- 4 : 3
The figure formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a square only if:
In the given figure, O is the centre of a circle and $\angle\text{AOB}=130^\circ.$ Then, $\angle\text{ACB}=?$
→- 50°
- 65°
- 115°
- 155°
Write the correct answer in the following:
A diagonal of a rectangle is inclined to one side of the rectangle at 25º. The acute angle between the diagonals is:
A diagonal of a rectangle is inclined to one side of the rectangle at 25º. The acute angle between the diagonals is:
- 55º
- 50º
- 40º
- 25º
$3x^3 + 2x^2 + 3x + 2 =$ ?
→Which of the following is an irrational number?
