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14. Surface Areas and Volumes
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Q4 of 44 Page 14

Find:

(i) the lateral surface,


(ii) the whole surface, and


(iii) the volume of a right circular cylinder whose height is 13.5 cm and radius of the base 7cm

Given: Radius of base, r = 7cm


Height , h = 13.5cm


(i) Lateral Surface Area of right circular cylinder = 2πrh



= 2×22×13.5


= 594cm2


(ii) Total Surface Area of cylinder = 2πrh + 2πr2


= 2πr(h + r)



= 2×22×20.5


= 902cm2


(iii) Volume of cylinder = πr2h



= 22×7×13.5


= 2079cm3


More from this chapter

All 44 →
2

Cardboard boxes of two different sizes are made. The bigger has dimensions 20cm, 15cm and 5cm and the smaller dimensions 16cm, 12cm and 4cm. 5% of the total surface area is required extra for all overlaps. If the cost of the cardboard is Rs. 20 for one square metre, find the cost of the cardboard for supplying 200 boxes of each kind.

3

The length of cold storage is double its breadth. Its height is 3 metres. The area of its four walls (including doors) is 108 m2. Find its volume.

5

The radius and height of a right circular cone are in the ratio of 5:12. If its volume is 314 cm3, find its slant height.

[Take π=3.14]

6

A cylinder, whose height is two-thirds of its diameter, has the same volume as a sphere of radius 4 cm. Calculate the radius of the base of the cylinder.

Questions · 44
14. Surface Areas and Volumes
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