Question:
If the radius of the base of a right-circular cylinder is halved, keeping the height same, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is
If the radius of the base of a right-circular cylinder is halved, keeping the height same, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is
Updated On: May 24, 2024
- 1 : 4
- 2 : 1
- 1 : 2
- 4 : 1
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The correct option is (A): 1 : 4
Was this answer helpful?
0
0
Top Questions on Conic sections
- Consider the ellipse \(\frac{x^2}{9}+\frac{y^2}{4}=1\). Let S (p, q) be a point in the first quadrant such that \(\frac{p^2}{9}+\frac{q^2}{4}>1\). Two tangents are drawn from S to the ellipse, of which one meets the ellipse at one end point of the minor axis and the other meets the ellipse at a point T in the fourth quadrant. Let R be the vertex of the ellipse with positive x-coordinate and Obe the center of the ellipse. If the area of the triangle △ORT is \(\frac{3}{2}\) , then which of the following options is correct ?
- JEE Advanced - 2024
- Mathematics
- Conic sections
- The sum of squares of all possible values of $k$, for which the area of the region bounded by the parabolas \[2y^2 = kx \quad \text{and} \quad ky^2 = 2(y - x)\]is maximum, is equal to:
- JEE Main - 2024
- Mathematics
- Conic sections
- Let a conic \( C \) pass through the point \( (4, -2) \) and \( P(x, y), \, x \geq 3 \), be any point on \( C \). Let the slope of the line touching the conic \( C \) only at a single point \( P \) be half the slope of the line joining the points \( P \) and \( (3, -5) \). If the focal distance of the point \( (7, 1) \) on \( C \) is \( d \), then \( 12d \) equals ______.
- JEE Main - 2024
- Mathematics
- Conic sections
- Let \(S\) be the focus of the hyperbola \(\frac{x^2}{3} - \frac{y^2}{5} = 1\), on the positive x-axis. Let \(C\) be the circle with its centre at \(A\left(\sqrt{6}, \sqrt{5}\right)\) and passing through the point \(S\). If \(O\) is the origin and \(SAB\) is a diameter of \(C\), then the square of the area of the triangle \(OSB\) is equal to -
- JEE Main - 2024
- Mathematics
- Conic sections
- The parabola \( y^2 = 4x \) divides the area of the circle \( x^2 + y^2 = 5 \) in two parts. The area of the smaller part is equal to:
- JEE Main - 2024
- Mathematics
- Conic sections
View More Questions
Questions Asked in AP POLYCET exam
- If the centroid of a triangle formed by the points \((a,b), (b, c)\) and \((c,a)\) is at the origin, then \(a^3+b^3+c^3 =\)
- AP POLYCET - 2024
- Triangles
- If a sin 45°= b cosec 30°, then the value of \(\frac {a^4}{b^4}\) is
- AP POLYCET - 2024
- Trigonometry
- The ratio of the sum and product of the roots of the quadratic equation \(7x^2-12x+18=0\) is
- AP POLYCET - 2024
- Quadratic Equations
- If the slope of the line joining the points (4,2) and (3,-k) is -2, then the value of k is
- AP POLYCET - 2024
- Slope of a line
- If 25 cm each is the object and image distances due to convex lens, then its focal length is
- AP POLYCET - 2024
- Light - Reflection and Refraction
View More Questions