Volume and Surface Area Practice Question and Answer

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 

760 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
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "2.5 cm"

Q:

If the curved surface area of a right circular cone is 10010 sq cm and its slant height is 91 cm, find its total surface area.

755 0

  • 1
    27720 sq cm
    Correct
    Wrong
  • 2
    4620 sq cm
    Correct
    Wrong
  • 3
    6930 sq cm
    Correct
    Wrong
  • 4
    13860 sq cm
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "13860 sq cm"

Q:

Three solid metallic sphere whose radii are 3cm, x cm and 18cm respectively, are melted and recast into a single solid sphere of diameter 38cm. Then find the total surface area of the sphere with radius x cm?

752 0

  • 1
    300 π
    Correct
    Wrong
  • 2
    400 π
    Correct
    Wrong
  • 3
    100 π
    Correct
    Wrong
  • 4
    200 π
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "400 π "

Q:

A semicircle is folded to make a cone. Find the height (in cm) of the cone if diameter of the semicircle is 28 cm?

746 0

  • 1
    $$ {7\sqrt{3}}$$
    Correct
    Wrong
  • 2
    $$ {14\sqrt{3}}$$
    Correct
    Wrong
  • 3
    $$ {7\sqrt{5}}$$
    Correct
    Wrong
  • 4
    $$ {7\sqrt{13}}$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "$$ {7\sqrt{3}}$$"

Q:

What will be the area of the curved surface of an elliptical cylinder whose height and diameter are 10 cm and 8 cm respectively?

746 0

  • 1
    20 π
    Correct
    Wrong
  • 2
    168 π
    Correct
    Wrong
  • 3
    80 π
    Correct
    Wrong
  • 4
    40 π
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "80 π"

Q:

The diagonal of a square is equal to the side of an equilateral triangle. If the area of the square is $$ {18\sqrt{3}}$$ sq.cm. What is the area (in cm2) of the equilateral triangle ?

744 0

  • 1
    $$ {54\sqrt{2}}$$
    Correct
    Wrong
  • 2
    $$ {27\sqrt{2}}$$
    Correct
    Wrong
  • 3
    54
    Correct
    Wrong
  • 4
    27
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "27"

Q:

If the ratio of the areas of two similar triangle ABC and DEF is 36:81 and EF = 6.9 cm., then BC is equal to –

739 0

  • 1
    4.6 cm.
    Correct
    Wrong
  • 2
    6.4 cm.
    Correct
    Wrong
  • 3
    4 cm.
    Correct
    Wrong
  • 4
    6 cm.
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "4.6 cm. "

Q:

The areas of the three adjacent faces of a cuboid are 32 cm2, 24 cm2 and 48cm2. What is the volume of the cuboid?

738 0

  • 1
    288 cm3
    Correct
    Wrong
  • 2
    256 cm3
    Correct
    Wrong
  • 3
    128 cm3
    Correct
    Wrong
  • 4
    192 cm3
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "192 cm3"

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully