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Mathematics quiz on Mensuration (23-08-2020)

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Question 1

Total surface area of a right circular cylinder is 462 m2. Total surface area is three times of its curved surface area. Then find the volume?

Question 2

In a solid right cylinder the ratio of base radius to its height is 2:3. If its volume is 12936 cm3, then find the total surface area of the cylinder?

Question 3

A cylinder is formed by rolling a rectangular sheet along its length. The length and breadth of the rectangular sheet is 88 cm and 22 cm respectively. Find the volume of the cylinder?

Question 4

The ratio of height and radius of a cylinder is 4:3. Its volume is equal to the volume of a sphere which has radius of 6 cm. What is the total surface area of the cylinder?

Question 5

In a right circular cone the ratio of height and radius is 12:5. Its curved surface area is 10010 cm2. Find its volume?

Question 6

If the base radius of two right circular cone are in the ratio of 2:3 and their heights in the ratio of 3:4. What is the ratio of their volumes?

Question 7

Find the cost of fencing a field at Rs 12/m which is in the shape of regular hexagon whose area is 864√3 m2 ?

Question 8

A metallic sphere of diameter 20 cm is melted to form smaller spheres of radius 2 cm. How many such small spheres can be formed?

Question 9

Find the area of the four walls of a room having length, breadth and height in ratio 4:3:2 and their sum is 36 cm ?

Question 10

If the side of a cube is decreased by 50%, then find the percentage change in its volume?
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