Volume and Surface Area Practice Question and Answer

Q:

The area of the base of a right circular cone is 400π and its height is 15 cm. The curved surface of the cone ( in cm2) is:

1306 0

  • 1
    560 π
    Correct
    Wrong
  • 2
    500 π
    Correct
    Wrong
  • 3
    450 π
    Correct
    Wrong
  • 4
    480 π
    Correct
    Wrong
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Answer : 2. "500 π"

Q:

A conical vessel of radius 6 cm and height 8 cm. is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just immersed. The fraction of water that overflows is? 

1300 0

  • 1
    $$ {1\over 4}$$
    Correct
    Wrong
  • 2
    $$ {1\over 2}$$
    Correct
    Wrong
  • 3
    $$ {3\over 8}$$
    Correct
    Wrong
  • 4
    $$ {5\over 8}$$
    Correct
    Wrong
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Answer : 3. "$$ {3\over 8}$$"

Q:

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

1299 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:

The total surface area of a hemisphere is 166.32 sq cm, find its radius? 

1294 0

  • 1
    4.2 cm
    Correct
    Wrong
  • 2
    8.4 cm
    Correct
    Wrong
  • 3
    1.4 cm
    Correct
    Wrong
  • 4
    2.1 cm
    Correct
    Wrong
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Answer : 1. "4.2 cm"

Q:

The base of right prism is a trapezium whose parallel sides are 11 cm and 15 cm and the distance between them is 9 cm. If the volume of the prism is 1731.6 cm3, then the height (in cm) of the prism will be:

1291 0

  • 1
    15.2
    Correct
    Wrong
  • 2
    14.8
    Correct
    Wrong
  • 3
    15.6
    Correct
    Wrong
  • 4
    14.2
    Correct
    Wrong
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Answer : 2. "14.8"

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Answer : 4. "4 : 5"

Q:

A spherical ball of lead 3 cm in diameter is melted and recast into three spherical balls The diameter of two of these are 1.5 cm and 2 cm respectively. The diameter of the third ball is 

1286 0

  • 1
    1.4 cm
    Correct
    Wrong
  • 2
    1.8 cm
    Correct
    Wrong
  • 3
    2.1 cm
    Correct
    Wrong
  • 4
    2.5 cm
    Correct
    Wrong
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Answer : 4. "2.5 cm"

Q:

A solid metallic cylinder of base radius 3 cm. and height 5 cm. is melted to form cones, each of height 1 cm. and base radius 1 mm. The number of cones is -

1280 0

  • 1
    12540
    Correct
    Wrong
  • 2
    13500
    Correct
    Wrong
  • 3
    24400
    Correct
    Wrong
  • 4
    11600
    Correct
    Wrong
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Answer : 2. "13500"

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