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CDS || Mathematics || Mensuration || 11-04-2019

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Question 1

The radii of two cylinders are in the ratio 2 : 3 and their curved surfaces areas are in the ratio 5 : 3. What is the ratio of their volumes?

Question 2

The radius of a hemisphere is 14 cm, find its volume?

Question 3

Three circular discs of radius 7 cm were kept closed together such that the lines joining their centers form a triangle. Find the area of the triangle?

Question 4

The radius and the height of a cone are each increased by 20%. Then the volume of the cone increases by

Question 5

A cone of height 25 cm and diameter 21 cm is mounted on a hemisphere of the same diameter. Find the volume of the solid thus formed? (Take n = 22/7)

Question 6

The area of a rectangle in 60 cm2 and its perimeter is 34 cm, then the length of the diagonal is

Question 7

The perimeter of four squares is 4√3 cm, 20 cm, 16 cm and 40 cm respectively. Find the perimeter of the square whose area is equal to the sum of the areas of these squares ?

Question 8

The height of a right prism is 7 cm. The base of the prism is a square having diagonal 6 cm. Find the volume of prism.

Question 9

Ms. Thara prepares circular chocolate truffles of equal size by melting a dark chocolate of length 19 cm, breadth 12 cm, height 2 cm and white chocolate of length 20 cm, breadth 15 cm & height 3 cm. If the spherical chocolate truffle has radius 3 cm, how many would she be left with after serving 2 truffles each to 4 kids.

Question 10

If an equilateral triangle is inscribed in a circle whose perimeter is 286 m. Find the difference between the perimeter of the circle and the perimeter of incircle of the equilateral triangle.
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