Important Questions of Surface Areas and Volumes Mathematics | Zigya

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31. The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions to move once over to level a playground. Find the area of the playground in m2.
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32. A cylindrical pillar is 50 cm in diameter and 3.5 m in height. Find the cost of painting the curved surface of the pillar at the rate of र 12.50 per m2
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33.

Curved surface area of a right circular cylinder is 4.4 m2. If the radius of the base of the cylinder is 0.7 m, find its height.

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34.

The inner diameter of a circular well is 3.5 m. It is 10 m deep. Find
(i)    its inner curved surface area,
(ii)    the cost of plastering this curved surface at the rate of र 40 per m2.

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35.

In a hot water heating system, there is a cylindrical pipe of length 28 m and diameter 5 cm. Find the total radiating surface in the system.

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36.

Find:

(i)    the lateral or curved surface area of a closed cylindrical petrol storage tank that is 4.2 m in diameter and 4.5 m high.

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37.

Find:

(ii)    how much steel was actually used if of the steel actually used was wasted in making the tank?

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38.

In Fig. 13.12, you see the frame of a lampshade. It is to be covered with a decorative cloth. The frame has a base diameter of 20 cm and height of 30 cm. A margin of 2.5 cm is to be given for folding it over the top and bottom of the frame. Find how much cloth is required for covering the lampshade.

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39.

The students of a Vidyalaya were asked to participate in a competition for making and decorating penholders in the shape of a cylinder with a base, using cardboard. Each penholder was to be of radius 3 cm and height 10.5 cm. The Vidyalaya was to supply the competitors with cardboard. If there were 35 competitors, how much cardboard was required to be bought for the competition?

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40. A cast-iron pipe has an external diameter of 75 mm. If it is 4.2 m long, find the area of the outer surface.

open square brackets Assume space straight pi equals 22 over 7 close square brackets
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