Important Questions of Mensuration - Volume and Surface Areas Quantitative Aptitude | Zigya

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11.

If the area of the base, height and volume of a right prism be  and 7200 cm3 respectively, then the value of P will be

  • 4
  • square root of 3
  • square root of 3
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12.

A circular swimming pool is surrounded by a concrete wall 4m wide. If the area of the concrete wall surrounding the pool is 11 over 25 that of the pool, then the radius (in m) of the pool is

  • 20

  • 30

  • 16

  • 16

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13.

A conical iron piece having diameter 28 cm and height 30cm is totally immersed into the water of a cylindrical vessel, resulting in the rise of water level by 6.4 cm. The diameter (in cm) of the vessel is

  • 3.5 

  • 35 over 2
  • 35

  • 35

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14.

The area of the iron sheet required to prepare a cone 24 cm high with base radius 7 cm is open parentheses Take space straight pi space equals space 22 over 7 close parentheses.

  • 708 cm2

  • 804 cm2

  • 704 cm2

  • 704 cm2

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15.

A rectangular tin sheet is 12 cm long and 5 cm broad. It is rolled along its length to form a cylinder by making the opposite edges just to touch each other. Then, the volume of the cylinder is

  • 180/π cm3

  • 120/π cm3

  • 100/π cm3

  • 60/π cm3

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16.

The radius of a sphere and hemisphere are same. The ratio of their total surface areas is

  • 3 : 1

  • 2 : 1

  • 3 : 2

  • 3 : 2

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17.

The height of a right circular cylinder is twice its radius of the base. If its height be 6 times its radius of the base, then the volume of the cylinder will be 539 cm3 more. Assuming straight pi space equals space 22 over 7 comma space the height of the cylinder is

  • 5 cm

  • 7 cm

  • 9 cm

  • 9 cm

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18.

A sphere of radius 5 cm is melted to form a cone with base of same radius. The height (in cm) of the cone is

  • 5

  • 10

  • 20

  • 20

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19.

The volume of metallic cylindrical pipe of uniform thickness is 748 cm3. Its length is 14 cm and its external radius is 9 cm. The thickness of the pipe is

  • 0.5 cm

  • 1.5 cm

  • 1 cm

  • 1 cm

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20.

If the sum of radius and height of a solid cylinder is 20 cm and its total surface area is 880 cm2 then its volume is

  • 1760 cm3

  • 8800 cm3

  • 2002 cm3

  • 2002 cm3

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