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
-
1.A vessel, in the form of an inverted cone, is filled with water to the brim. Its height is 20 cm and diameter is 16.8 cm. Two equal solid cones are dropped in it so that they are fully submerged. As a result, one-third of the water in the original cone overflows. What is the volume of each of the solid cones submerged?
- A.123.2 cm³
- B.246.4 cm³
- C.492.8 cm³
- D.739.2 cm³
-
2.A vessel is in the form of an inverted cone. Its height is 11 cm and the radius of its top which is open, is 2.5 cm. It is filled with water up to the rim. When lead shots, each of which is a sphere of radius 0.25 cm are dropped into the vessel, $\frac{2}{5}$ of the water flows out. Find the number of lead shots dropped into the vessel.
-
3.Find the volume of a hemisphere with diameter 7 cm. (Take π = 22/7)
- A.44.92 cm³
- B.89.83 cm³
- C.115.5 cm³
- D.179.67 cm³
-
4.An iron pole consisting of a cylindrical portion 110 cm high and of base diameter 12 cm is surmounted by a cone 9 cm high. Find the mass of the pole, given that 1 cm³ of iron has 8 gm of mass (approx). (Take π = 355 / 113)
- A.98.45 kg
- B.102.24 kg
- C.105.68 kg
- D.110.12 kg
-
5.A copper sphere having a radius of 6 cm is melted and then drawn into a cylindrical wire of radius 2 mm. Calculate the length of the wire.
- A.18 m
- B.72 m
- C.720 m
- D.7.2 m
Ready? Take the full 20-question test free — instant marking, no sign-up needed.
▶ Start free mock test