SURFACE AREAS AND VOLUMES Test

SURFACE AREAS AND VOLUMES

This is SURFACE AREAS AND VOLUMES Test-03 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The base area of the cylinder is 80 sq.cm. If its height is 5cm, then its volume is
  • A
    400 cu.cm
    Correct
  • B
    100 cu.cm
  • C
    200 cu.cm
  • D
    80 cu.cm
2
The radius and height of a right circular cone and that of a right circular cylinder are respectively equal. If the volume of the cylinder is 300 cu.cm, then the volume of the cone is
  • A
    300 cu.cm
  • B
    100 cu.cm
    Correct
  • C
    600 cu.cm
  • D
    900 cu.cm
3
If the surface area of a sphere is 36π sq. cm, then its volume is
  • A
    \(\begin{array}{*{20}{l}} {12\pi {\text{ }}cu.cm} \end{array}\)
  • B
    \(\begin{array}{*{20}{l}} {36\pi {\text{ }}cu.cm} \end{array}\)
    Correct
  • C
    \(\begin{array}{*{20}{l}} {72\pi {\text{ }}cu.cm} \end{array}\)
  • D
    \(\begin{array}{*{20}{l}} {48\pi {\text{ }}cu.cm} \end{array}\)
4
The inner dimensions of a closed box are 12cm, 10cm and 8cm. If the thickness of the wood is 1cm, then the capacity f the box is
  • A
    1920 cu.cm
  • B
    1200 cu.cm
  • C
    960 cu.cm
    Correct
  • D
    480 cu.cm
5
During conversion of a solid from one shape to another, the volume of the new shape will
  • A
    decrease
  • B
    be doubled
  • C
    increase
  • D
    remain unaltered
    Correct
6
Six solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 4cm and height 16cm. The diameter of each sphere is
  • A
    8cm
  • B
    3cm
  • C
    4cm
    Correct
  • D
    2cm
7
If three metallic spheres of radii 6cm, 8cm and 10cm are melted to form a single sphere, the diameter of the sphere is
  • A
    36cm
  • B
    24cm
  • C
    24 cm
    Correct
  • D
    30cm
8
A solid sphere of radius 3cm is melted and cast in to the shape of a solid cylinder of height 1cm. The radius of the base of cylinder is
  • A
    1cm
  • B
    4cm
  • C
    6cm
    Correct
  • D
    3cm
9
The number of spherical balls each of radius 1cm can be made from a solid sphere of lead of radius 6cm is
  • A
    576
  • B
    1024
  • C
    512
  • D
    216
    Correct
10
Three cubes of metal whose edges are 3cm, 4cm and 5cm are melted and a single cube is formed. The edge of the single cube so formed is
  • A
    4cm
  • B
    6cm
    Correct
  • C
    5cm
  • D
    8cm
11
Two cubes of volume 125cm3 are joined end to end to form a cuboid. The surface area of the resulting cuboid is
  • A
    \(500c{m^2}\)
  • B
    \(375c{m^2}\)
  • C
    \(250c{m^2}\)
    Correct
  • D
    \(125c{m^2}\)
12
A metallic cylinder of radius 6cm and height 8cm is melted and recast in to the shape of a sphere. The radius of the sphere is
  • A
    4cm
  • B
    8cm
  • C
    6cm
    Correct
  • D
    5cm
13
A right circular cone 8cm high and with base radius 2cm is melted and recast into a sphere. The radius of the sphere is
  • A
    4cm
  • B
    2cm
    Correct
  • C
    8cm
  • D
    3cm
14
A metallic sphere of radius 3cm is melted and recast into the shape of a cylinder of radius 6cm. The height of the cylinder is
  • A
    3cm
  • B
    4cm
  • C
    1cm
    Correct
  • D
    2cm
15
A spherical ball of diameter 21cm is melted and recast into cubes each of side 1cm. The numbers of cubes so formed are
  • A
    4800
  • B
    4000
  • C
    5000
  • D
    4851
    Correct