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SSC CGL Surface Areas and Volumes — practice questions — page 2

Explore 71 free Surface Areas and Volumes questions in SSC CGL Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Surface Areas and Volumes questions and exercises with answers

Showing questions 31–60 of 71.

If a sphere's radius is doubled, its volume becomes how many times the original?Read the answer and worked solution →What is the total surface area of a solid hemisphere of radius 7 cm? (Take π = 22/7)Read the answer and worked solution →Among solids of equal volume, which has the least surface area?Read the answer and worked solution →A great circle is drawn on a sphere of radius 7 cm. What is the area of this circle? (Take π = 22/7)Read the answer and worked solution →A sphere just fits inside a cube. About what share of the cube's volume does the sphere fill?Read the answer and worked solution →A metal sphere of radius 3 cm is recast into a cylinder of radius 2 cm. What is the cylinder's height?Read the answer and worked solution →A toy is a cone on a hemisphere of radius 3.5 cm, slant height 6 cm. Find its surface area. (π = 22/7)Read the answer and worked solution →A solid has a cone of radius 3 cm and height 4 cm on a hemisphere of radius 3 cm. What is its volume?Read the answer and worked solution →A capsule is a cylinder 10 cm long and 3.5 cm in radius with a hemisphere at each end. Its surface area is? (Take π = 22/7)Read the answer and worked solution →Which two solids join to make the shape of a laboratory test tube?Read the answer and worked solution →A smooth toy joins a cone to a hemisphere. The cone's base radius must equal?Read the answer and worked solution →A pyramid has a square base of side 6 cm and height 9 cm. What is its volume?Read the answer and worked solution →A pyramid has volume 120 cm³ and a base of area 30 cm². What is its height?Read the answer and worked solution →A square pyramid has base edge 10 cm and vertical height 12 cm. What is the slant height of a side face?Read the answer and worked solution →What shape are the lateral faces of any pyramid?Read the answer and worked solution →A regular hexagon has side 6 cm. What is the distance from its centre to a vertex?Read the answer and worked solution →What is the sum of the interior angles of a hexagon?Read the answer and worked solution →How many diagonals does a heptagon have?Read the answer and worked solution →Each exterior angle of a regular polygon is 36°. How many sides does it have?Read the answer and worked solution →A regular hexagon has an apothem of 5 cm. What is the sum of distances from an inside point to the sides?Read the answer and worked solution →The distance from the centre of a regular polygon to the midpoint of a side is called its?Read the answer and worked solution →Which circle touches every side of a regular polygon at its midpoint?Read the answer and worked solution →How many lines of reflection symmetry does a regular pentagon have?Read the answer and worked solution →Under the inclusive definition, a trapezoid has at least how many pairs of parallel sides?Read the answer and worked solution →In an isosceles trapezoid, how are the two non-parallel legs related?Read the answer and worked solution →PQ is a diameter of a circle and R is another point on it. What is angle PRQ?Read the answer and worked solution →A chord 16 cm long lies in a circle of radius 10 cm. How far is the chord from the centre?Read the answer and worked solution →A chord of length 24 cm is 5 cm from the centre of a circle. What is the radius?Read the answer and worked solution →A point is 13 cm from the centre of a circle of radius 5 cm. What is the length of the tangent from it?Read the answer and worked solution →A ring-shaped region lies between circles of radius 14 cm and 7 cm. What is its area? (Take π = 22/7)Read the answer and worked solution →

Worked practice questions

If a sphere's radius is doubled, its volume becomes how many times the original?

  1. Four times
  2. Six times
  3. Eight times
  4. Two times
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Correct answer: C. Eight times

Volume varies as r³, so doubling the radius gives 2³ = 8 times the volume.

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What is the total surface area of a solid hemisphere of radius 7 cm? (Take π = 22/7)

  1. 462 cm²
  2. 154 cm²
  3. 308 cm²
  4. 616 cm²
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Correct answer: A. 462 cm²

Total surface area is 3πr² (curved part 2πr² plus flat circle πr²) = 3 × 22/7 × 49 = 462 cm².

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Among solids of equal volume, which has the least surface area?

  1. Cylinder
  2. Sphere
  3. Cone
  4. Cube
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Correct answer: B. Sphere

The sphere encloses a given volume with the smallest possible surface area, which is why bubbles are round.

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