Volume and Surface Area Practice Question and Answer

Q:

The base of a right circular cone has the same radius a as that of a sphere. Both the sphere and the Cone have the same volume. Height of the cone is:

1081 0

  • 1
    3a
    Correct
    Wrong
  • 2
    $$ {7\over4}a$$
    Correct
    Wrong
  • 3
    $$ {7\over3}a$$
    Correct
    Wrong
  • 4
    4a
    Correct
    Wrong
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Answer : 4. "4a"

Q:

The volume of a sphere and an elliptical cylinder are the same. The radius of the sphere and cylinder are 21 cm and 14 cm respectively. What is the height of the cylinder?

1214 0

  • 1
    63 cm
    Correct
    Wrong
  • 2
    56 cm
    Correct
    Wrong
  • 3
    42 cm
    Correct
    Wrong
  • 4
    49 cm
    Correct
    Wrong
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Answer : 1. "63 cm"

Q:

The height of a wall is six times its width and the length of the wall is seven times its height. If volume of the wall be 16128 cube m, its width is 

1113 0

  • 1
    5m
    Correct
    Wrong
  • 2
    4m
    Correct
    Wrong
  • 3
    4.5m
    Correct
    Wrong
  • 4
    6m
    Correct
    Wrong
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Answer : 2. "4m "

Q:

The area of triangle is half the area of square. The perimeter of the square is 224 cm. What is the area of triangle?

1313 0

  • 1
    1856 cm2
    Correct
    Wrong
  • 2
    1658 cm2
    Correct
    Wrong
  • 3
    1558 cm2
    Correct
    Wrong
  • 4
    1586 cm2
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 5. "None of these"
Explanation :

given 4a=224,

a=56, so that Area of square is=a2=56*56
so that Area of Triangle is a2/2=1568

Q:

What is the volume of a cube whose side is 7.5 cm?

1119 0

  • 1
    421.875 cm3
    Correct
    Wrong
  • 2
    759.375 cm3
    Correct
    Wrong
  • 3
    631.81 cm3
    Correct
    Wrong
  • 4
    210.94 cm3
    Correct
    Wrong
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Answer : 1. "421.875 cm3"

Q:

Diameter of a cycle wheel is 14 cm. A cyclist takes 30 minutes to reach a destination at a speed at 11 km/h. How many revolutions will the wheel make during the journey?

2316 1

  • 1
    12500
    Correct
    Wrong
  • 2
    15000
    Correct
    Wrong
  • 3
    17750
    Correct
    Wrong
  • 4
    20000
    Correct
    Wrong
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Answer : 1. "12500"

Q:

What is the total CSA of cone whose radius is 3 cm and height is 4 cm? 

811 0

  • 1
    $$ { 24 π cm^2}$$
    Correct
    Wrong
  • 2
    $$ { 25 π cm^2}$$
    Correct
    Wrong
  • 3
    $$ { 28 π cm^2}$$
    Correct
    Wrong
  • 4
    $$ { 20 π cm^2}$$
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 1. "$$ { 24 π cm^2}$$"

Q:

One side of the rectangular ground is 8m and its diagonal is 17m. Find the area of the ground?

883 0

  • 1
    150 m²
    Correct
    Wrong
  • 2
    140 m²
    Correct
    Wrong
  • 3
    130 m²
    Correct
    Wrong
  • 4
    120 m²
    Correct
    Wrong
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Answer : 4. "120 m²"

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