Worksheets › Class 9 › Math of Space: Surface Area and Volume
Class 9 Math of Space: Surface Area and Volume worksheet
CBSE Mathematics. Cones, spheres and hemispheres (π = 22/7). 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 cone has radius 14 cm and height 48 cm. Its slant height is:
- 51 cm
- 62 cm
- 34 cm
- 50 cm
Answer
(d) 50 cm
√(14² + 48²) = √2500 = 50
- 2.
The curved surface area of a cone with radius 14 cm and slant height 50 cm (π = 22/7) is:
- 2,816 cm²
- 4,400 cm²
- 2,200 cm²
- 616 cm²
Answer
(c) 2,200 cm²
πrl = 22/7 × 14 × 50 = 2,200
- 3.
The surface area of a sphere of radius 70 cm (π = 22/7) is:
- 1,437,333 1/3 cm²
- 30,800 cm²
- 46,200 cm²
- 61,600 cm²
Answer
(d) 61,600 cm²
4πr² = 4 × 22/7 × 70² = 61,600
Section B · short answer
- 4.
Find the total surface area of a cone with radius 14 cm and slant height 50 cm (π = 22/7).
Answer
2,816 cm²
πr(l + r) = 22/7 × 14 × 64 = 2,816
- 5.
Find the volume of a hemisphere of radius 42 cm (π = 22/7).
Answer
155,232 cm³
(2/3)πr³ = 2/3 × 22/7 × 42³ = 155,232
Section C · long answer
- 6.
A conical tent has a base radius of 7 m and a slant height of 12 m. Find the canvas needed and its cost at Rs 172 per m² (π = 22/7).
Answer
264 m²; Rs 45,408
πrl = 22/7 × 7 × 12 = 264 m²; × 172 = 45,408
Fresh sheets for your child
In the app, every Math of Space: Surface Area and Volume 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.