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.

Sample questions

1. 1.The radius of a roller $100\mathrm{cm}$ long is $14\mathrm{cm}$. The curved surface area of the roller is: $\left(\mathrm{Take} \, \pi = \frac{22}{7}\right)$
   • a.$13,200\mathrm{cm}^2$
   • b.$15,400\mathrm{cm}^2$
   • c.$4,400\mathrm{cm}^2$
   • d.$8,800\mathrm{cm}^2$
2. 2.Total volume of three identical cones is the same as that of a bigger cone whose height is 9 cm and diameter 40 cm. Find the radius of the base of each smaller cone, if height of each is 108 cm.
3. 3.A right circular cylinder having diameter 12 cm and height 15 cm is full of ice-cream. The ice-cream is to be filled in identical cones of height 12 cm and diameter 6 cm having a hemi-spherical shape on the top. How many such cones can be completely filled with the ice-cream?
   • A.6
   • B.10
   • C.12
   • D.15
4. 4.A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the rim. When lead shots, each of which is a sphere of radius 0.5 cm, are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.
   • A.50
   • B.100
   • C.200
   • D.25
5. 5.What is the volume of the largest right circular cone that can be cut off from a cube of edge 4.2 cm?
   • A.32.4 cm³
   • B.25.4 cm³
   • C.12.4 cm³
   • D.19.4 cm³