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Class 10 Surface Areas and Volumes worksheet
CBSE Mathematics. Solids made of cylinders, cones, hemispheres and cubes. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
A solid is a cylinder of radius 7 cm and height 15 cm with a hemisphere of the same radius on top. Its volume (π = 22/7) is:
- 3,747 1/3 cm³
- 2,310 cm³
- 3,050 2/3 cm³
- 3,028 2/3 cm³
Answer
(d) 3,028 2/3 cm³
πr²h + (2/3)πr³ = 2,310 + 718 2/3
- 2.
A paperweight is a cone of radius 105 cm and slant height 111 cm mounted on a hemisphere of the same radius. Its total surface area (π = 22/7) is:
- 140,580 cm²
- 36,630 cm²
- 105,930 cm²
- 175,230 cm²
Answer
(c) 105,930 cm²
πrl + 2πr² = 36,630 + 69,300
- 3.
A solid is a cube of edge 28 cm with a hemisphere of diameter 28 cm fixed on top. Its surface area (π = 22/7) is:
- 6,320 cm²
- 4,704 cm²
- 5,320 cm²
- 5,936 cm²
Answer
(c) 5,320 cm²
6a² − πr² + 2πr² = 6a² + πr² = 4,704 + 616
Section B · short answer
- 4.
A tent is a cylinder of radius 7 m and height 14 m with a cone of the same radius and slant height 25 m on top. Find the area of canvas used (π = 22/7).
Answer
1,166 m²
2πrh + πrl = 616 + 550
- 5.
An ice-cream cone is a cone of radius 42 mm and height 56 mm, filled with ice-cream and topped with a hemisphere of the same radius. Find the volume of ice-cream (π = 22/7).
Answer
258,720 mm³
(1/3)πr²h + (2/3)πr³ = 103,488 + 155,232
Section C · long answer
- 6.
A circus tent is a cylinder of radius 35 m and height 7 m with a cone of slant height 37 m on top. Find the cost of the canvas at Rs 63 per m² (π = 22/7).
Answer
Rs 353,430
canvas = 2πrh + πrl = 5,610 m²
Fresh sheets for your child
In the app, every Surface Areas and Volumes sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
Coming soon for Android and iPhone.