Volume and Surface Area Practice Question and Answer

Q:

If the perimeter of a circular plot is equal to the perimeter of a square plot, what will be the ratio of their areas?

1370 0

  • 1
    12:11
    Correct
    Wrong
  • 2
    14:11
    Correct
    Wrong
  • 3
    6:11
    Correct
    Wrong
  • 4
    7:11
    Correct
    Wrong
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Answer : 2. "14:11"

Q:

The area of square field is $$ ({69696})^{2}$$. Its diagonal will be equal to (use √2 = 1.414) 

1369 0

  • 1
    313.296 m
    Correct
    Wrong
  • 2
    353.296 m
    Correct
    Wrong
  • 3
    373.296 m
    Correct
    Wrong
  • 4
    393.296 m
    Correct
    Wrong
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Answer : 3. "373.296 m "

Q:

How much parts of the pits, which are 48 meters long, 16.5 meters wide and 4 meters deep, can be filled in the soil, which is obtained by cylindrical tunnel of 4 meters diameter and 56 meters long?

1367 0

  • 1
    $$ {1\over 9}$$
    Correct
    Wrong
  • 2
    $$ {2\over 9}$$
    Correct
    Wrong
  • 3
    $$ {7\over 9}$$
    Correct
    Wrong
  • 4
    $$ {8\over 9}$$
    Correct
    Wrong
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Answer : 2. "$$ {2\over 9}$$"

Q:

The volume of a cube is $$ 512{cm}^{3}$$. Its surface area (in sq cm) is 

1355 0

  • 1
    284
    Correct
    Wrong
  • 2
    384
    Correct
    Wrong
  • 3
    484
    Correct
    Wrong
  • 4
    576
    Correct
    Wrong
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Answer : 2. "384 "

Q:

The ratio of the areas of two isosceles triangles having the same vertical angle is 1 : 9.The ratio of their heights is -

1349 0

  • 1
    1 : 3
    Correct
    Wrong
  • 2
    1 : 9
    Correct
    Wrong
  • 3
    3 : 1
    Correct
    Wrong
  • 4
    1 : 81
    Correct
    Wrong
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Answer : 1. "1 : 3"

Q:

The length of a hollow thick cylindrical metallic pipe is 6 cm and its total surface area including the surface at the ends is 98π sq. cm. If the outer diameter is 8 cm, then the inner diameter in cm is 

1341 0

  • 1
    6.5
    Correct
    Wrong
  • 2
    7
    Correct
    Wrong
  • 3
    5
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 4. "6"

Q:

The length of a rectangle is 6 cm more than its width and its perimeter is 100 cm. If the area of this rectangle is closest to the area of a circle, then what is the circumference of that circle?

1339 0

  • 1
    110 cm
    Correct
    Wrong
  • 2
    132 cm
    Correct
    Wrong
  • 3
    66 cm
    Correct
    Wrong
  • 4
    88 cm
    Correct
    Wrong
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Answer : 4. "88 cm"

Q:

A shuttlecock used of playing badminton has the shape of a frustum of a cone mounted on a semi sphere. The external diameters of the frustum are 5 cm and 2 cm, the height of the entire shuttlecock is 7 cm. The external surface is of the shuttlecock is:

1334 0

  • 1
    67.98 sq.cm
    Correct
    Wrong
  • 2
    74.26 sq.cm
    Correct
    Wrong
  • 3
    70 sq.cm
    Correct
    Wrong
  • 4
    72 sq.cm
    Correct
    Wrong
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Answer : 2. "74.26 sq.cm"

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