Volume and Surface Area Practice Question and Answer

Q:

The area of the base of a right circular cone is 400π and its height is 15 cm. The curved surface of the cone ( in cm2) is:

1206 0

  • 1
    560 π
    Correct
    Wrong
  • 2
    500 π
    Correct
    Wrong
  • 3
    450 π
    Correct
    Wrong
  • 4
    480 π
    Correct
    Wrong
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Answer : 2. "500 π"

Q:

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

1203 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"

Q:

The perimeter of a rectangle and equilateral triangle is equal. One side of the rectangle is also equal to the side of the triangle. Find the ratio of the areas of the rectangle and triangle?

1202 0

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

Q:

A cylindrical well of depth 21 m with internal radius of 13 m is dug up. The mud, so detained, is spread evenly to form a platform of dimension 52 × 13.2. What is the height of the platform?

1201 0

  • 1
    62.5 m
    Correct
    Wrong
  • 2
    37.5 m
    Correct
    Wrong
  • 3
    13.4 m
    Correct
    Wrong
  • 4
    18.2 m
    Correct
    Wrong
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Answer : 2. "37.5 m"

Q:

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

1200 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:

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?

1199 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 rectangular grass plot 80 m × 60 m has two roads, each 10 m wide, running in the middle of it; one parallel to length and the other parallel to breadth. Find the cost of gravelling the roads at ₹ 2 per m2

1191 0

  • 1
    ₹ 2600
    Correct
    Wrong
  • 2
    ₹ 2680
    Correct
    Wrong
  • 3
    ₹ 2580
    Correct
    Wrong
  • 4
    ₹ 2500
    Correct
    Wrong
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Answer : 1. "₹ 2600 "

Q:

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

1187 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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