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Mensuration || 22.09.2022

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Question 1

A swimming pool in the shape of a guitar has constant depth throughout. When 9000 liters of water is poured into the pool water, the level rises to 50 cm. What is the surface area of the floor of the pool?

Question 2

If the Diagonal of a cube is 8√3 units, find the ratio of area and volume of the cube?

Question 3

A rectangular courtyard of a temple 3.78 m long and 5.25 m wide is to be paved exactly with square marble stones, all of the same size. What is the largest size of the marble stone which could be used for the purpose?

Question 4

The difference between the circumferences of two concentric circles is 110 cm, and the radius of the inner circle is 21cm. what is the area of the region between the two circles?

Question 5

Swati wanted to have three rounds of a rectangular park whose length is 70 m and breadth is 55m. How much distance did she cover?

Question 6

A solid cylinder has the total surface area 231 sq. cm. If its curved surface area is 2/3 of the total surface area, then the volume of the cylinder is

Question 7

What is the length of the side of an equilateral triangle, if its area is 36√3 sq cm?

Question 8

The ratio of the radius of the base of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. The ratio of their volumes is

Question 9

Curved surface area of a cylinder is 528 sq cm. If circumference of its base is 44 cm, find the height of the cylinder?

Question 10

A circular part of highest possible area is cut from a rectangular sheet of iron. What is area of remaining part of that sheet if its length and breadth are 40 meter and 28 meter respectively?
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Sep 22SSC & Railway