← Back to topic
Vidaara.orgClass 8 · Mathematics
CodeVID-M08-16-CYL-01
Cylinders - Surface Area & Volume - Assignment
Chapter: Surface Area & Volume
Topic: Surface Area and Volume of Cylinders
Maximum Marks: 35
Time: 75 minutes
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.
TSA of a cylinder:
  • A.$2\pi r h$
  • B.$2\pi r(r+h)$
  • C.$\pi r^2 h$
  • D.$\pi r(r+h)$
4.
A cylinder has how many circular faces?
  • A.$0$
  • B.$1$
  • C.$2$
  • D.$3$
5.
The radius is ___ the diameter.
  • A.twice
  • B.half
  • C.equal to
  • D.four times
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 TSA of a cylinder $r=7$, $h=3$ ($\pi=\tfrac{22}{7}$).
9.
Find the radius of a cylinder of diameter $14$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the volume of a cylinder $r=14$, $h=10$ ($\pi=\tfrac{22}{7}$).
11.
Find the CSA of a cylinder $r=7$, $h=20$ ($\pi=\tfrac{22}{7}$).
12.
Find the TSA of a cylinder $r=7$, $h=14$ ($\pi=\tfrac{22}{7}$).
13.
The volume of a cylinder is $1540$ cm$^3$ and $r=7$. Find the height ($\pi=\tfrac{22}{7}$).
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A cylindrical tank has radius $7$ m and height $5$ m. Find its volume and curved surface area ($\pi=\tfrac{22}{7}$).
15.
A solid cylindrical rod has radius $7$ cm and length $100$ cm. Find its volume and curved surface area ($\pi=\tfrac{22}{7}$).

Answer Key

Section A — Multiple Choice Questions
  1. (B) $\pi r^2 h$
  2. (B) $2\pi r h$
  3. (B) $2\pi r(r+h)$
  4. (C) $2$
  5. (B) half
Section B — Short Answer (2 marks)
  1. $1540$.
  2. $440$.
  3. $440$.
  4. $7$.
Section C — Short Answer (3 marks)
  1. $6160$.
  2. $880$.
  3. $924$.
  4. $10$ cm.
Section D — Long Answer (5 marks)
  1. Volume $770$ m$^3$; CSA $220$ m$^2$.
  2. Volume $15400$ cm$^3$; CSA $4400$ cm$^2$.
Generated by Vidaara.org · Assignment VID-M08-16-CYL-01 · vidaara.org