12

Mathematics

Surface Areas and Volumes

723+ practice questions available

Sample Practice Questions

5 questions shown — tap “Show Answer” to check yours.

1
Hard

A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank of diameter 2 m and depth 3.5 m. If water flows at 3 km/h, in how many minutes will the tank be completely filled? (Use pi = 22/7)

A100 min
B50 min
C200 min
D150 min
2
Hard

A circus tent has a cylindrical base of diameter 20 m and height 3 m, surmounted by a conical roof of height 3.5 m. What is the area of canvas needed to make the tent? (Use pi = 22/7)

A532.73 m^2
B438.57 m^2
C660 m^2
D580 m^2
3
Easy

A cylindrical tank of base radius 7 cm and height 20 cm is half filled with water. The volume of water in the tank is: (Use π = 22/7)

A1540 cm³
B3080 cm³
C770 cm³
D308 cm³
4
Hard

A solid metallic right circular cone (height 120 cm, radius 60 cm) is melted and recast as a sphere. The radius of the sphere is: (Use π = 22/7)

A60 cm
B30 cm
C120 cm
D45 cm
5
Hard

A solid hemisphere of radius 8 cm is melted and recast into 8 spheres of equal size. The surface area of each sphere is: (Use π = 22/7)

A88 cm²
B176 cm²
C44 cm²
D352 cm²

Practice all 723+ Surface Areas and Volumes questions

Adaptive difficulty, instant explanations, XP rewards, chapter mastery tracking.

Start Free — No Credit Card →