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Mensuration 3D || 13.02.2021

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Question 1

A cylindrical vessel of radius 30 cm and height 42 cm is full of water. Its contents are emptied into a rectangular tub of length 75 cm and breadth 44 cm. The height (in cm) to which the water rises in the tub is:

Question 2

The base of a prism is in the shape of an equilateral triangle. If the perimeter of the base is 30 cm and the height of the prism is 35 cm, then what is the volume (in cm³) of the prism?

Question 3

How many balls of radius 45 cm can be made by melting a bigger ball of diameter 360 cm?

Question 4

The radius of the base of a right circular cylinder is increased by 20%. By what per cent should its height be reduced so that its volume remains the same as before?

Question 5

A hemisphere of radius 30 cm is moulded to form a cylinder of height 180 cm. The diameter of the cylinder is:

Question 6

Total surface area of a right circular cylinder is 1848 cm2. The ratio of its total surface area to the curved surface area is 3 : 1. What is the volume of the cylinder(Take )?

Question 7

The radii of two cylinders A and B are in the ratio of 5 : 6 and the heights are in the ratio of 7 : 4 respectively. The ratio of curved surface area of cylinder B to that of A is.

Question 8

A sphere of radius 7 cm is melted and recast into small sphere of radius 2 cm each. How many such sphere can be made?

Question 9

A sphere of 30 cm radius is dropped into a cylindrical vessel of 80 cm diameter, which is partly filled with water, then its level rises by x cm. find x :

Question 10

The radius of a sphere is reduced by 40%. By what percent will its volume decrease?
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