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4. (a) Explain how a ruler is used to measure the inside volume of an open cylindrical can. (b) How can the same volume be measured with a graduated cylinder?

4. (a) Explain how a ruler is used to measure the inside volume of an open cylindrical can. (b) How can the same volume be measured with a graduated cylinder?

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please help with question number 4 both part a and b
Questions Group 1 1. Cloth tape measures are used commercially to make coarse measurements of length. Why are such tape measures unsuitable for precise meas- ber of complete turns made by one of the wheels and multiplying it by the circumference of the wheel. If the odometer reads the distance trav- eled accurately when the car's tires are new, why will the reading not be accurate when the tires become worn? urement? 2. In using the platinum bar at Sèvres, France, as the standard meter, why is it necessary to specify that the temperature must be 0°C? 3. (a) How can the volume of a rectangular room be measured? (b) How can the volum of a dean computed from a measurement of the cube's key be measured? 4. (a) Explain how a ruler is used to measure the inside volume of an open cylindrical can. (b) How can the same volume be measured with a 8. A small porous solid is in the shape of a cube. Its volume is determined in two ways. First, it is edge. Then it is obtained by indirect measure- ment using a graduated cylinder partly filled with water. (a) Why might there be a consider- able difference between the two values of the volume thus obtained? (b) What does this dif- ference represent? graduated cylinder? 5. How can the volume of a basketball be deter- 9. The sides of two squares are in the ratio of 2 to mined? 1. (a) What is the ratio of their areas? (b) If the corresponding dimensions of any two similar plane figures are in the ratio of 2 to 1, explain why their areas will be in the same ratio as that of the two squares. Group 2 6. (a) How will the change-over by the United States from the English to the metric system of measurement be an advantage in international trade? (b) Describe two difficulties that might arise in an industry, such as car manufacturing, in changing from English to metric units. 7. The odometer (oh DAHM i tur) measures the distance traveled by a car by counting the num- 10. (a) If the length of each edge of a cube is dou- bled, what happens to the volume? (b) An en- larged model of a small solid statue is made by doubling each dimension of the original. How does the volume of the enlarged model compare. with that of the original?
Transcribed Image Text:Questions Group 1 1. Cloth tape measures are used commercially to make coarse measurements of length. Why are such tape measures unsuitable for precise meas- ber of complete turns made by one of the wheels and multiplying it by the circumference of the wheel. If the odometer reads the distance trav- eled accurately when the car's tires are new, why will the reading not be accurate when the tires become worn? urement? 2. In using the platinum bar at Sèvres, France, as the standard meter, why is it necessary to specify that the temperature must be 0°C? 3. (a) How can the volume of a rectangular room be measured? (b) How can the volum of a dean computed from a measurement of the cube's key be measured? 4. (a) Explain how a ruler is used to measure the inside volume of an open cylindrical can. (b) How can the same volume be measured with a 8. A small porous solid is in the shape of a cube. Its volume is determined in two ways. First, it is edge. Then it is obtained by indirect measure- ment using a graduated cylinder partly filled with water. (a) Why might there be a consider- able difference between the two values of the volume thus obtained? (b) What does this dif- ference represent? graduated cylinder? 5. How can the volume of a basketball be deter- 9. The sides of two squares are in the ratio of 2 to mined? 1. (a) What is the ratio of their areas? (b) If the corresponding dimensions of any two similar plane figures are in the ratio of 2 to 1, explain why their areas will be in the same ratio as that of the two squares. Group 2 6. (a) How will the change-over by the United States from the English to the metric system of measurement be an advantage in international trade? (b) Describe two difficulties that might arise in an industry, such as car manufacturing, in changing from English to metric units. 7. The odometer (oh DAHM i tur) measures the distance traveled by a car by counting the num- 10. (a) If the length of each edge of a cube is dou- bled, what happens to the volume? (b) An en- larged model of a small solid statue is made by doubling each dimension of the original. How does the volume of the enlarged model compare. with that of the original?
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