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### High School Mathematics4.49 Word Problems on Sphere - I

 Example: The diameter of a copper sphere is 6 cm. It is beaten and drawn into a wire of a diameter 0.4 cm. Find the length of the wire. Solution: Diameter of the sphere = 6 cm. Therefore the radius of the sphere = 6/2 = 3 cm. Volume of the sphere = 4/3 * 22/7 * 3 * 3 * 3 cu. cm. The sphere is beaten and drawn into a wire, the wire is a cylinder of diameter 0.4. Length 'l' is to be calculated, Area of the base of the cylinder = pi * r2 = 22/7 * 0.2 * 0.2 Sq. cm. Volume of the wire = pi * r2 * l = 22/7 * 0.2 * 0.2 * l Therefore, 22/7 * 0.2 * 0.2 * l = 4/3 * 22/7 * 3 * 3 * 3 Therefore, l = 4/3 * 22/7 * 3 * 3 * 3 * 7/22 * 1/0.04 l = 36 * 1/0.04 l = 900 cm. Directions: Solve the following problems. Also write at least 5 examples of your own.
 Q 1: The diameter of a copper sphere is 6 cm. It is beaten and drawn into a wire of a diameter 0.2 cm. Find the length of the wire.3680 cm.3620 cm.3600 cm.3640 cm. Q 2: The diameter of a copper sphere is 4 cm. It is beaten and drawn into a wire of a diameter 0.2 cm. Find the length of the wire.1076.67 cm.1046.67 cm.1066.67 cm.1056.67 cm. Q 3: The diameter of a copper sphere is 9 cm. It is beaten and drawn into a wire of a diameter 0.6 cm. Find the length of the wire.1350 cm.1360 cm.1340 cm.1340 cm. Q 4: The diameter of a copper sphere is 8 cm. It is beaten and drawn into a wire of a diameter 0.4 cm. Find the length of the wire.2153.33 cm.2143.33 cm.2123.33 cm.2133.33 cm. Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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