Volume and Surface Area Questions Practice Question and Answer

Q:

The total Surface area of a solid hemisphere is 1039.5 cm2. The volume ( in cm3) of the hemisphere is: (Take π=22/7)

615 0

  • 1
    2425.5
    Correct
    Wrong
  • 2
    2530.6
    Correct
    Wrong
  • 3
    2525.6
    Correct
    Wrong
  • 4
    2225.5
    Correct
    Wrong
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Answer : 1. "2425.5"

Q:

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

612 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:

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.

611 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:

A regular hexagon has a side of 4 cm. Find its area. (in sq. cm)

608 0

  • 1
    $$ {24\sqrt{3}}$$
    Correct
    Wrong
  • 2
    $$ {18\sqrt{3}}$$
    Correct
    Wrong
  • 3
    $$ {36\sqrt{3}}$$
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 1. "$$ {24\sqrt{3}}$$"

Q:

A circular park whose diameter is 210 m has a 5 m wide path running around it(on the outside). What is the area ( in m2) of the path?

606 0

  • 1
    1020 π
    Correct
    Wrong
  • 2
    1075 π
    Correct
    Wrong
  • 3
    1050 π
    Correct
    Wrong
  • 4
    1100 π
    Correct
    Wrong
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Answer : 2. "1075 π"

Q:

Find the area of a quadrilateral whose diagonal is 10 cm. And the length of the length put on it is 6 cm and 5 cm respectively. 

605 0

  • 1
    55 sq.cm
    Correct
    Wrong
  • 2
    40 sq.cm
    Correct
    Wrong
  • 3
    45 sq.cm
    Correct
    Wrong
  • 4
    90 sq.cm
    Correct
    Wrong
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Answer : 1. "55 sq.cm"

Q:

If a side of a square is a, then what will be the area of the square on its diagonal?

604 0

  • 1
    $$ {\sqrt{2}a^{2}}$$
    Correct
    Wrong
  • 2
    $$ {{2}a^{2}}$$
    Correct
    Wrong
  • 3
    $$ {{5}a^{2}}$$
    Correct
    Wrong
  • 4
    $$ {a^{2}}$$
    Correct
    Wrong
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Answer : 2. "$$ {{2}a^{2}}$$"

Q:

Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes?

601 0

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

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