Vidaara.orgClass 9 · Mathematics
CodeVID-M09-24-CYL-01
Cylinder & Cone - Assignment
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- All questions are compulsory.
- Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
- Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions
5 × 1 = 5 marks
1.
Volume of a cylinder:
- A.$2\pi r h$
- B.$\pi r^2 h$
- C.$\tfrac13\pi r^2 h$
- D.$\pi r^2$
2.
CSA of a cylinder:
- A.$\pi r^2$
- B.$2\pi r h$
- C.$\pi r l$
- D.$2\pi r^2$
3.
Volume of a cone:
- A.$\pi r^2 h$
- B.$\tfrac13\pi r^2 h$
- C.$\pi r l$
- D.$2\pi r h$
4.
CSA of a cone:
- A.$2\pi r h$
- B.$\pi r l$
- C.$\pi r^2$
- D.$\tfrac13\pi r^2 h$
5.
Slant height of a cone:
- A.$\sqrt{r^2+h^2}$
- B.$r+h$
- C.$\sqrt{r^2-h^2}$
- D.$rh$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Find the volume of a cylinder $r=7$, $h=10$ ($\pi=\tfrac{22}{7}$).
7.
Find the CSA of a cylinder $r=7$, $h=10$ ($\pi=\tfrac{22}{7}$).
8.
Find the volume of a cone $r=3$, $h=7$ ($\pi=\tfrac{22}{7}$).
9.
Find the slant height of a cone $r=6$, $h=8$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Find the total surface area of a cylinder $r=7$, $h=10$ ($\pi=\tfrac{22}{7}$).
11.
Find the volume of a cone $r=7$, $h=12$ ($\pi=\tfrac{22}{7}$).
12.
Find the slant height of a cone $r=9$, $h=12$.
13.
Find the CSA of a cone $r=7$, $l=25$ ($\pi=\tfrac{22}{7}$).
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
A cylindrical pillar has diameter $50$ cm and height $3.5$ m. Find the cost of painting its curved surface at Rs $12$ per m$^2$ ($\pi=\tfrac{22}{7}$).
15.
A conical tent has base radius $7$ m and height $24$ m. Find the slant height and the canvas needed for its curved surface ($\pi=\tfrac{22}{7}$).
Answer Key
Section A — Multiple Choice Questions
- (B) $\pi r^2 h$
- (B) $2\pi r h$
- (B) $\tfrac13\pi r^2 h$
- (B) $\pi r l$
- (A) $\sqrt{r^2+h^2}$
Section B — Short Answer (2 marks)
- $1540$.
- $440$.
- $66$.
- $10$.
Section C — Short Answer (3 marks)
- $748$.
- $616$.
- $15$.
- $550$.
Section D — Long Answer (5 marks)
- CSA $5.5$ m$^2$; cost Rs $66$.
- Slant height $25$ m; canvas $550$ m$^2$.
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