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- Subject
- Volumesmathematics-mcqs › volumes
- Published
- 12 Jul 2019
- Last updated
- 28 May 2026
Explanation
Given that both the cylinder and cone have identical radius and volume, the volume formulas are V_cylinder = πr²h_cylinder and V_cone = (1/3)πr²h_cone. Equating volumes, πr²h_cylinder = (1/3)πr²h_cone, which simplifies to h_cylinder = (1/3)h_cone. Therefore, the height ratio of cylinder to cone is 1:3.
More Volumes MCQs
Practice related questions from the same subject.
- 1.What is the radius of a sphere if its volume and surface area have the same numerical value?
- 2.A sphere and a right circular cylinder have identical radii, and their volumes are equal. What is the height of the cylinder in terms of its radius?
- 3.How many solid spheres with a diameter of 6 cm can be formed by melting a solid metal cylinder measuring 45 cm in height and 4 cm in diameter?
- 4.What is the length of a wire with a radius of 0.2 mm that can be formed by melting a solid copper sphere with a diameter of 18 cm?
- 5.If the radius of a wire is reduced to one-third of its original size while keeping the volume constant, by what factor will its length change?
- 6.If the volumes of two cubes are in the ratio 8 to 1, what is the ratio of their side lengths?
- 7.A metal sheet measuring 27 cm in length, 8 cm in width, and 1 cm in thickness is melted and reshaped into a cube. What is the difference between the surface areas of the original sheet and the resulting cube?
- 8.A wooden crate measures 8 meters by 7 meters by 6 meters. How many smaller rectangular boxes, each measuring 8 centimeters by 7 centimeters by 6 centimeters, can fit inside this crate at maximum capacity?
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