ICSE Class 10 Surface Area and Volume (Cylinder, Cone, Sphere) — Mock Test (2027)
Free online mock test for Surface Area and Volume (Cylinder, Cone, Sphere) (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.
What to expect: This mock test covers key concepts from the Surface Area and Volume (Cylinder, Cone, Sphere) chapter — including application-based and competency-focused questions aligned with how ICSE actually sets the paper.
Tip: Attempt without notes first to identify gaps, then review explanations for any wrong answers. Retake after a few days for best retention.
Sample questions
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1.A solid consists of a cylinder with a hemisphere surmounted on one end and a cone on the other. The common radius is 7 cm, the height of the cylinder is 10 cm, and the height of the cone is 4 cm. If this solid is completely immersed in a cylindrical container of radius 14 cm, what is the rise in the water level?
- A.0.5 cm
- B.1.0 cm
- C.1.5 cm
- D.2.0 cm
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2.A solid sphere of radius 15 cm is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm. How many cones are recast?
- A.200
- B.250
- C.270
- D.300
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3.Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed.
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4.A cylinder, a hemisphere and a cone have equal base diameters and have the same height. Which of the following correctly represents the ratio of their volumes?
- A.3 : 2 : 1
- B.2 : 3 : 1
- C.3 : 1 : 2
- D.6 : 4 : 1
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5.A hollow sphere of internal and external radii 6 cm and 8 cm respectively is melted and recast into small cones of base radius 2 cm and height 8 cm. How many cones are formed?
- A.25
- B.30
- C.37
- D.42
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