Question:

A reservoir is in the shape of a frustum of a right circular cone. It is 8 m across at the top and 4 m cross at the bottom. It is 6 m deep then its capacity is

Updated On: Apr 30, 2024

$704\ m^3$
$174\ m^3$
$127\ m^3$
$170\ m^3$

Hide Solution

Verified By Collegedunia

The Correct Option is A

Solution and Explanation

The correct option is (A):

704\ m^3

Was this answer helpful?

Top Questions on Conic sections

Let $E: \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1, \quad a > b \quad \text{and} \quad H: \frac{x^2}{A^2} - \frac{y^2}{B^2} = 1.$ Let the distance between the foci of $E$ and the foci of $H$ be $2\sqrt{3}$ . If $a - A = 2$ , and the ratio of the eccentricities of $E$ and $H$ is $\frac{1}{3}$ , then the sum of the lengths of their latus rectums is equal to:
- JEE Main - 2025
- Mathematics
- Conic sections
View Solution
Let $E: \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1, \quad a > b \quad \text{and} \quad H: \frac{x^2}{A^2} - \frac{y^2}{B^2} = 1.$ Let the distance between the foci of $E$ and the foci of $H$ be $2\sqrt{3}$ . If $a - A = 2$ , and the ratio of the eccentricities of $E$ and $H$ is $\frac{1}{3}$ , then the sum of the lengths of their latus rectums is equal to:
- JEE Main - 2025
- Mathematics
- Conic sections
View Solution
Let $e_1$ be the eccentricity of the hyperbola $\frac{x^2}{16} - \frac{y^2}{9} = 1$ and $e_2$ be the eccentricity of the ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1, \quad a > b,$ which passes through the foci of the hyperbola. If $e_1 e_2 = 1$ , then the length of the chord of the ellipse parallel to the x-axis and passing through (0, 2) is:
- JEE Main - 2024
- Mathematics
- Conic sections
View Solution
The area bounded by $y - 1 = |x|$ and $y + 1 = |x|$ is: (a) $\frac{1}{2}$
- VITEEE - 2024
- Mathematics
- Conic sections
View Solution
If a tangent to the hyperbola $x^2 - \frac{y^2}{3} = 1$ is also a tangent to the parabola $y^2 = 8x$ , then the equation of such tangent with the positive slope is:
- AP EAPCET - 2024
- Mathematics
- Conic sections
View Solution

View More Questions

Questions Asked in TS POLYCET exam

View More Questions