Volume and Surface Area Practice Question and Answer

Q:

A circle and a rectangle have the same perimeter. The sides of rectangle are 18 cm and 26 cm then find out the area of circle?

1189 0

  • 1
    $$ {230cm^2}$$
    Correct
    Wrong
  • 2
    $$ {320cm^2}$$
    Correct
    Wrong
  • 3
    $$ {616cm^2}$$
    Correct
    Wrong
  • 4
    $$ {154cm^2}$$
    Correct
    Wrong
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Answer : 3. "$$ {616cm^2}$$"

Q:

The base of a right circular cone has the same radius a as that of a sphere. Both the sphere and the Cone have the same volume. Height of the cone is:

1081 0

  • 1
    3a
    Correct
    Wrong
  • 2
    $$ {7\over4}a$$
    Correct
    Wrong
  • 3
    $$ {7\over3}a$$
    Correct
    Wrong
  • 4
    4a
    Correct
    Wrong
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Answer : 4. "4a"

Q:

The ratio of the volume of right circular cylinder and a right circular cone of the same base and height will be:

863 0

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

Q:

Find the area of the shaded region if the radius of each of the circle is 1 cm.

1748 1

  • 1
    $$ 2-{π\over3}$$
    Correct
    Wrong
  • 2
    $$ \sqrt{3}-{π\over2}$$
    Correct
    Wrong
  • 3
    $$ \sqrt{3}-{π}$$
    Correct
    Wrong
  • 4
    $$ \sqrt{3}-{π\over4}$$
    Correct
    Wrong
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Answer : 1. "$$ 2-{π\over3}$$"

Q:

A wall is the form of a trapezium with height 8 m and parallel sides being 5 m and 10 m. What is the cost of painting the wall, if the rate of painting is Rs. 50 per square meter  ?

1019 0

  • 1
    Rs.5000
    Correct
    Wrong
  • 2
    Rs.3000
    Correct
    Wrong
  • 3
    Rs.6000
    Correct
    Wrong
  • 4
    Rs .4000
    Correct
    Wrong
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Answer : 2. "Rs.3000"

Q:

In the given figure find out the area of circle?

1107 0

  • 1
    48π sq cm
    Correct
    Wrong
  • 2
    50π sq cm
    Correct
    Wrong
  • 3
    100π sq cm
    Correct
    Wrong
  • 4
    200π sq cm
    Correct
    Wrong
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Answer : 3. "100π sq cm"

Q:

What is the area of an equilateral triangle having altitude equal to $$5\sqrt{3}$$cm.

772 0

  • 1
    $$25\sqrt{3}$$
    Correct
    Wrong
  • 2
    $$45\sqrt{3}$$
    Correct
    Wrong
  • 3
    45
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 1. "$$25\sqrt{3}$$"

Q:

One side of the rectangular ground is 8m and its diagonal is 17m. Find the area of the ground?

883 0

  • 1
    150 m²
    Correct
    Wrong
  • 2
    140 m²
    Correct
    Wrong
  • 3
    130 m²
    Correct
    Wrong
  • 4
    120 m²
    Correct
    Wrong
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Answer : 4. "120 m²"

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