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SSC Quiz on Mensuration: 08.03.2018

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Question 1

How many square metre of canvas is required to make a conical tent of height 3 metre, in which a boy having height 1.5 metre can perfectly stand 2 metre from the centre?

Question 2

A hemispherical solid of radius 2.7 cm has the volume half the volume of a circular cylinder. The ratio of radii of hemisphere and cylinder is 3:2. Find the height of the cylinder.

Question 3

Find the approximate time taken to fill a rectangular swimming pool of 100 m × 255 m to fill up to a height of 45 cm, if given the dimensions of rectangular aperture filling the tank is 75 cm × 40 cm and the speed of water is 4250 m/hour.

Question 4

The slant height and the radius of a cone are 22 cm and 3 cm respectively. If the total surface area of this cone is equal to that of a hemisphere, find the approximate volume of that hemisphere.

Question 5

The diameter of a sphere is twice the diameter of another sphere. The curved surface area of the first and the volume of the second are numerically equal. The numerical value of the radius of the first sphere is

Question 6

A well of 11.2 m diameter is dug 8 m deep. The earth taken out has been spread all round it to a width of 7 m to form a circular embankment. Find the approximate height of this embankment.

Question 7

Each of the radius and the height of a cone is increased by 20% . Then find the % increase in volume.
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