Volume and Surface Area Practice Question and Answer

Q:

From a circle of radius a, a sector, which subtend an angle π/5 at the centre has been cut off. The perimeter of the remaining part of the circle is

1211 0

  • 1
    2πa
    Correct
    Wrong
  • 2
    $$ {π\over 5}{a}$$
    Correct
    Wrong
  • 3
    $$ {7π\over 5}{a}$$
    Correct
    Wrong
  • 4
    $$ {9π\over 5}{a}$$
    Correct
    Wrong
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Answer : 4. "$$ {9π\over 5}{a}$$"

Q:

The height of a square base right prism is 15 cm. If the total surface area of the prism is 608 cm2 , then what will be the volume of prism?

1211 0

  • 1
    950 cm3
    Correct
    Wrong
  • 2
    970 cm3
    Correct
    Wrong
  • 3
    960 cm3
    Correct
    Wrong
  • 4
    940 cm3
    Correct
    Wrong
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Answer : 3. "960 cm3"

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?

1202 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:

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

1201 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:

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

1199 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:

From a right cone of height h and with base radius r a cone has been cut of from the centre of the height. The volume of remaining frustum of the cone is.

1196 0

  • 1
    $$ {1\over3}π{r^{2}}h$$
    Correct
    Wrong
  • 2
    $$ {1\over24}π{r^{2}}h$$
    Correct
    Wrong
  • 3
    $$ {7\over24}π{r^{2}}h$$
    Correct
    Wrong
  • 4
    $$ {1\over8}π{r^{2}}h$$
    Correct
    Wrong
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Answer : 3. "$$ {7\over24}π{r^{2}}h$$"

Q:

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

1195 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:

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

1194 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"

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