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If the diameters of two spheres are in the proportion 1 to 2, what is the ratio of their volumes?

Volumes MCQs for PPSC, FPSC, NTS, and Pakistan government job tests. Select an option below, then read the explanation.

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Subject
Volumesmathematics-mcqs › volumes
Published
12 Jul 2019
Last updated
28 May 2026

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Explanation

Since volume of a sphere is proportional to the cube of its diameter, the volume ratio is (1)^3 : (2)^3 = 1 : 8.

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Practice related questions from the same subject.

  1. 1.What is the radius of a sphere if its volume and surface area have the same numerical value?
  2. 2.A right circular cylinder and a right circular cone share the same radius and volume. What is the ratio of the cylinder's height to the cone's height?
  3. 3.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?
  4. 4.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?
  5. 5.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?
  6. 6.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?
  7. 7.If the volumes of two cubes are in the ratio 8 to 1, what is the ratio of their side lengths?
  8. 8.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?
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