Elliott Beck
01/13/2023 · Senior High School

7. When 3 litres of oil are removed from an upright cylindrical can, the level falls by 10 cm . Find the radius of the can. 8. A solid cylinder of radius 4 cm and length 8 cm is melted down and recast into a solid cube. Find the side of the cube. 9. A solid rectangular block of copper 5 cm by 4 cm by 2 cm is drawn out to make a cylindrical wire of diameter 2 mm . Calculate the length of the wire. 10. Water flows through a circular pipe of internal diameter 3 cm at a speed of \( 10 \mathrm{~cm} / \mathrm{s} \). If the pipe is full, how much water flows from the pipe in one minute? (Answer in litres.) 11. Water flows from a hose-pipe of internal diameter 1 cm at a rate of 5 litres per minute. At what speed is the water flowing through the pipe? 12. A cylindrical metal pipe has external diameter of 6 cm and internal diameter of 4 cm . Calculate the volume of metal in a pipe of length 1 m . If \( 1 \mathrm{~cm}{ }^{3} \) of the metal has a mass of 8 g , find the mass of the pipe.

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1. Radius of the can: approximately 9.77 cm. 2. Side of the cube: approximately 7.37 cm. 3. Length of the wire: approximately 1273.24 cm. 4. Water flow in one minute: approximately 4.242 litres. 5. Speed of water in the pipe: approximately 106.25 cm/s. 6. Mass of the pipe: approximately 12.57 kg.

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