[Exercise- page 213]
E.10.1 Look at the following picture. Here the dimensions of the cylinder are doubled in order. So what will be the effect on the volume? Give your opinion logically.
Solution:
E.10.2 Look at the following picture. Here the second cylinder is constructed doubling the diameter and halving the height of the first cylinder. Find the ratio of the volumes of the two cylinders.
Solution:
E.10.3 A biscuit company will make boxes of rectangular shape for biscuit packing. So, it plans to make two types of boxes.
a) length = 20 cm. width = 8 cm. height = 3 cm.
b) length= 12 cm. width= 10 cm. height= 4 cm.
Which type of box will be profitable for the company? Explain logically. The volume will remain the same as only changing the dimensions and the company will be benefited. Can you give such suggestions?
Solution:
E.10.4
If the area of the triangle △BCE is 100 sq. cm. determine the area of trapezium ABCD
Solution:
E.10.5 Make two cylinders rolling an A4 size paper along the length and width as in the figure below.
(a) Which cylinder made by you has a larger volume?
(b) What size of paper, if we cut from an A4 paper, will make both the cylinders equal? Justify your answer.
Solution:
E.10.6 Cut two pieces of paper using scale measuring 21 cm. in length and 12 cm. in width. Now make two right circular cylinder by rolling one of the two pieces of paper along the length and the other along the width.
a. Determine the area of the curved surface and the volume?
b. Explain logically if there is any difference between the two cylinders.
Solution:
E.10.7 A box is made by wood of fixed thickness. The measurement of outer sides are 10 cm, 8 cm and 6 cm. The inner volume of the box is 192 cubic cm.
a. Determine the volume of the box.
b. Determine the volume of the wood used to make the box.
Solution:
E.10.8 The volume of a cylinder is 150 c.c. What are the possibilities of radius of base and height of the cylinder?
Solution:
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