← Back to topic
Vidaara.orgClass 10 · Mathematics
CodeVID-M10-11-COM-01
Combination of Solids — Assignment
Chapter: Mensuration
Topic: Surface Area and Volume of Combination of Solids
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.$\pi r^2h$
  • B.$\tfrac13\pi r^2h$
  • C.$2\pi rh$
  • D.$\tfrac43\pi r^3$
2.
Volume of a cone $=$
  • A.$\pi r^2h$
  • B.$\tfrac13\pi r^2h$
  • C.$\tfrac43\pi r^3$
  • D.$2\pi r^2$
3.
Volume of a sphere $=$
  • A.$\pi r^3$
  • B.$\tfrac43\pi r^3$
  • C.$\tfrac23\pi r^3$
  • D.$4\pi r^2$
4.
CSA of a cylinder $=$
  • A.$2\pi r^2$
  • B.$2\pi rh$
  • C.$\pi rl$
  • D.$\pi r^2h$
5.
CSA of a hemisphere $=$
  • A.$\pi r^2$
  • B.$2\pi r^2$
  • C.$3\pi r^2$
  • D.$4\pi r^2$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the volume of a cylinder with $r=7,\ h=10$ ($\pi=\tfrac{22}{7}$).
7.
Find the volume of a sphere of radius $3$.
8.
Find the CSA of a cone with $r=7,\ l=25$.
9.
Find the volume of a hemisphere of radius $3$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the total surface area of a cylinder with $r=7,\ h=10$.
11.
Find the total surface area of a cone with $r=6,\ l=10$.
12.
Find the volume of a sphere of diameter $14$.
13.
A cylinder and a cone have equal radius and height. Find the ratio of their volumes.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A solid is a cylinder ($r=7$, height $10$ cm) with a cone ($r=7$, height $6$ cm) on top. Find the total volume ($\pi=\tfrac{22}{7}$).
15.
A hemispherical bowl of internal radius $9$ cm is emptied into cylindrical bottles of radius $1.5$ cm and height $4$ cm. Find the number of bottles.

Answer Key

Section A — Multiple Choice Questions
  1. (A) $\pi r^2h$
  2. (B) $\tfrac13\pi r^2h$
  3. (B) $\tfrac43\pi r^3$
  4. (B) $2\pi rh$
  5. (B) $2\pi r^2$
Section B — Short Answer (2 marks)
  1. $1540$ cm$^3$.
  2. $36\pi$.
  3. $550$.
  4. $18\pi$.
Section C — Short Answer (3 marks)
  1. $748$ cm$^2$.
  2. $96\pi$.
  3. $\tfrac{4312}{3}\approx1437.33$ cm$^3$.
  4. $3:1$.
Section D — Long Answer (5 marks)
  1. $1848$ cm$^3$.
  2. $54$.
Generated by Vidaara.org · Assignment VID-M10-11-COM-01 · vidaara.org