Volumes of Cuboid, Cylinder, Cone and SpherePractice Questions & MCQs
Practice Volumes of Cuboid, Cylinder, Cone and Sphere questions from Surface Areas and Volumes (Class 9 Maths) - important MCQs with answers and step-by-step solutions. Solve the sample questions below, then practice the full set free on the RankByte app.
Volumes of Cuboid, Cylinder, Cone and SphereQuiz - Solve & Score
Q1. A cone, a sphere and a cylinder all have radius 7 cm; the cone and cylinder have height 14 cm (= 2r) (pi = 22/7). Their volumes are in the ratio cone : sphere : cylinder =?
- A.1:2:3
- B.1:1:1
- C.3:2:1
- D.1:3:2
Answer: A. 1:2:3
Given 7 cm, 14 cm, asked for the unknown. By Cone = (1/3)π.r^2(2r) = (2/3)π.r^3. Cone = (1/3)π.r^2(2r) = (2/3)π.r^3 → sphere = (4/3)π.r^3 → cylinder = π.r^2(2r) = 2π.r^3 → ratio = 1:2:3. Consequently option A) 1:2:3. Others fail: option B) '1:1:1' misses the point - With h = 2r the three volumes are πr^3 ratios 1:2:3, not equal; option C) '3:2:1' misses the point - Cone is the smallest and cylinder the largest; order is 1:2:3.
Q2. A cone, a sphere and a cylinder all have radius 14 cm; the cone and cylinder have height 28 cm (= 2r) (pi = 22/7). Their volumes are in the ratio cone : sphere : cylinder =?
- A.1:2:3
- B.1:1:1
- C.3:2:1
- D.1:3:2
Answer: A. 1:2:3
Q3. A cone, a sphere and a cylinder all have radius 21 cm; the cone and cylinder have height 42 cm (= 2r) (pi = 22/7). Their volumes are in the ratio cone : sphere : cylinder =?
- A.1:2:3
- B.1:1:1
- C.3:2:1
- D.1:3:2
Answer: A. 1:2:3
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