Volume and Surface Area Questions Practice Question and Answer

Q:

A solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones?

1245 0

  • 1
    53500
    Correct
    Wrong
  • 2
    49500
    Correct
    Wrong
  • 3
    51500
    Correct
    Wrong
  • 4
    52500
    Correct
    Wrong
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Answer : 4. "52500"

Q:

In the figure given below, AD bisects ∠BAC. If the area of ΔABD=40 cm2 and AC=3AB, then the area of ΔABC:

1241 0

  • 1
    $$ {150 \ cm^{2}}$$
    Correct
    Wrong
  • 2
    $$ {100 \ cm^{2}}$$
    Correct
    Wrong
  • 3
    $$ {120 \ cm^{2}}$$
    Correct
    Wrong
  • 4
    $$ {160 \ cm^{2}}$$
    Correct
    Wrong
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Answer : 3. "$$ {120 \ cm^{2}}$$"

Q:

If the perimeter of a triangle is 30 cm and the area is 30 square cm, if the length of the larger side is 13 cm, then what is the length of the shorter side?

1237 0

  • 1
    4 cm
    Correct
    Wrong
  • 2
    6 cm
    Correct
    Wrong
  • 3
    5 cm
    Correct
    Wrong
  • 4
    10 cm
    Correct
    Wrong
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Answer : 3. "5 cm"

Q:

A polygon has 14 sides then find out No. of diagonals in that polygon. 

1237 0

  • 1
    75
    Correct
    Wrong
  • 2
    76
    Correct
    Wrong
  • 3
    77
    Correct
    Wrong
  • 4
    80
    Correct
    Wrong
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Answer : 3. "77 "

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?

1235 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
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Answer : 1. "$$ {7\sqrt{3}}$$"

Q:

The area  of a circle is 616 sq cm, find its circumference?

1233 0

  • 1
    44 cm
    Correct
    Wrong
  • 2
    88 cm
    Correct
    Wrong
  • 3
    22 cm
    Correct
    Wrong
  • 4
    176 cm
    Correct
    Wrong
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Answer : 2. "88 cm"

Q:

The perimeter of a rectangle and equilateral triangle is equal. One side of the rectangle is also equal to the side of the triangle. Find the ratio of the areas of the rectangle and triangle?

1231 0

  • 1
    $$ {\sqrt{3}:1}$$
    Correct
    Wrong
  • 2
    $$ {1 : \sqrt{3}}$$
    Correct
    Wrong
  • 3
    $$ {2 : \sqrt{3}}$$
    Correct
    Wrong
  • 4
    $$ {4 : \sqrt{3}}$$
    Correct
    Wrong
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Answer : 3. "$$ {2 : \sqrt{3}}$$"

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:

1230 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"

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