22 JUNIOR GRADE SCIENCE 



11. Plot a curve showing the relation between the area of a circle and its 

 radius for values of the radius up to 12 cms. 



12. Equilateral figures having 3, 4, 5, 8, 12 and 16 equal sides, respectively, 

 were described in a circle. Their areas were found to be 1*31, 2-00, 2-40, 

 2*80, 3'00 and 3'08 sq. in. respectively. Plot a curve showing the relation 

 between area and number of sides. What indication does it give you as 

 to the probable area of the circle ? 



13. A circle has a greater area than any other plane figure of equal peri- 

 meter. How would you verify this statement by two practical methods ? 



14. You are given a steel cylinder, an egg, and several very small spheres 

 of equal size. Explain carefully, mentioning precautions necessary to 

 secure accuracy of measurement, how you would proceed to find the volume 

 (a) of the cylinder, (6) of the egg, (r) of one of the smaller spheres. 



16. Given metre and inch rules, a balance and a burette measuring cubic 

 centimetres, how would you determine the weight of a cubic foot of water ? 



16. The internal diameter of a circular conical glass is 5 cm. at the 

 bottom and 7 cm. at the top, and the depth is 10 cm. 



Calculate the volume of water it will hold. 



17. A piece of paper in the form of a quarter of a circle of three inches 

 radius is made into a conical funnel by putting its two bounding radii 

 together. Find the height of the cone and the diameter of its base. 



18. Sketch in detail a burette ready for use. Describe how you would 

 use it in finding the density of a long iron nail. 



