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Mensuration Quiz : 02.12.2018

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Question 1

The length of a field is 1.5 times its breadth. The cost of levelling it at the rate of 25 paisa per square metre is rs. 1176. Find the cost of fencing it at the rate of rs. 5 per metre.

Question 2

A rectangular tank of dimension 200 m by 300 m is to be filled by a square pipe of side 50 cm. The level of tank is to be raised to 45 cm. By what speed should the water flow so that this level is raised in 10 hours.

Question 3

If the curved surface area of a right circular cone is 3080 sq cm and its slant height is 35 cm, find its total surface area?

Question 4

The radius of a right circular cone is 14cm and height is 48cm. It is cut through a plane parallel to base at half its height. Find the volume of the new cone so obtained

Question 5

A rectangular field has its length and breadth in ratio 25:16. If its perimeter is 738 m, then find its area.

Question 6

Find the length of the largest pen that can be placed in a box. The length, breadth and height of the box are 12, 9 and 8 cm respectively.

Question 7

If the height of a cylinder is 4 times its circumference, the volume of the cylinder in terms of its circumferece, c is

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

The areas of two similar triangles ΔABC and ΔPQR are 121 sq cm and 64 sq cm respectively. If cm, what is the length (in cm) of AB?

Question 10

A cube is cast into a cylinder with height twice as long as the radius. Find ratio of volumes?
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