Volume and Surface Area Questions Practice Question and Answer

Q:

Find the area of a white sheet required to prepare a cone with a height of 21cm and the radius of 20cm.

768 0

  • 1
    $$ {3080}cm^2$$
    Correct
    Wrong
  • 2
    $$ {2300}cm^2$$
    Correct
    Wrong
  • 3
    $$ {3460}cm^2$$
    Correct
    Wrong
  • 4
    $$ {3600}cm^2$$
    Correct
    Wrong
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Answer : 1. "$$ {3080}cm^2$$"

Q:

A circular ground of radius  7 m is surrounded by a path of width 3.5 m. Find the area of path.

1218 0

  • 1
    202 sq.m
    Correct
    Wrong
  • 2
    154 sq.m
    Correct
    Wrong
  • 3
    192.5 sq.m
    Correct
    Wrong
  • 4
    346.5 sq.m
    Correct
    Wrong
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Answer : 3. "192.5 sq.m"

Q:

The length of the diagonal of a square is 'a' cm. Which of the following represents the area of the square (in sq. cm)? 

932 0

  • 1
    2a
    Correct
    Wrong
  • 2
    a\√2
    Correct
    Wrong
  • 3
    $$a^2\2$$
    Correct
    Wrong
  • 4
    $$a2\4$$
    Correct
    Wrong
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Answer : 3. "$$a^2\2$$"

Q:

What is the area of a rectangle , if its diagonal s 61 cm and one of its sides is 11 cm ? 

832 0

  • 1
    $$ 660cm^2$$
    Correct
    Wrong
  • 2
    $$ 720cm^2$$
    Correct
    Wrong
  • 3
    $$ 616cm^2$$
    Correct
    Wrong
  • 4
    $$ 633cm^2$$
    Correct
    Wrong
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Answer : 1. "$$ 660cm^2$$"

Q:

The curved surface area of a cylindrical pillar is 264 square meter and its volume is 924 cubic meters. Find the ratio of its diameter to its height.

2059 0

  • 1
    7 : 6
    Correct
    Wrong
  • 2
    3 : 7
    Correct
    Wrong
  • 3
    7 : 3
    Correct
    Wrong
  • 4
    6 : 7
    Correct
    Wrong
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Answer : 3. "7 : 3"

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?

800 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"

Q:

What is total surface area of a cone where, r’ is radius and ‘l’ is slant height?   

861 0

  • 1
    πr (l + r)
    Correct
    Wrong
  • 2
    2πr (l+r)
    Correct
    Wrong
  • 3
    πrl
    Correct
    Wrong
  • 4
    $$ 2πrl^2$$
    Correct
    Wrong
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Answer : 1. "πr (l + r) "

Q:

The area of an equilateral triangle inscribed in a circle is $$ 9√3 cm^2$$ . The area of the circle is:

1986 0

  • 1
    $$ 8√3cm^2$$
    Correct
    Wrong
  • 2
    $$ 13π cm^2 $$
    Correct
    Wrong
  • 3
    $$ 12π cm^2 $$
    Correct
    Wrong
  • 4
    $$ 36π cm^2 $$
    Correct
    Wrong
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Answer : 3. "$$ 12π cm^2 $$"

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