Volume of a sphereGiven the radius, the volume of a sphere can be found by using the following formula: V = (4/3) × pi × r^{3} Use pi = 3.14 Example #1 Find V_{sphere} if r = 2 inches V_{sphere} = 4/3 × pi × r^{3} V_{sphere} = 4/3 × 3.14 × 2^{3} V_{sphere} = 4/3 × 3.14 × 8 V_{sphere} = 4/3 × 25.12 V_{sphere} = 4/3 × 25.12/1 V_{sphere} = (4 × 25.12)/(3 × 1) V_{sphere} = (100.48)/3 V_{sphere} = 33.49 inches^{3} Example #2 Find V_{sphere} if r = 3 cm V_{sphere} = 4/3 × pi × r^{3} V_{sphere} = 4/3 × 3.14 × 3^{3} V_{sphere} = 4/3 × 3.14 × 27 V_{sphere} = 4/3 × 84.78 V_{sphere} = 4/3 × 84.78/1 V_{sphere} = (4 × 84.78)/(3 × 1) V_{sphere} = (339.12)/3 V_{sphere} = 113.04 cm^{3} Example #3 Find V_{sphere} if r = 2/3 cm V_{sphere} = 4/3 × pi × r^{3} V_{sphere} = 4/3 × 3.14 × (2/3)^{3} V_{sphere} = 4/3 × 3.14 × 2/3 ×2/3 × 2/3 V_{sphere} = 4/3 × 3.14 × 8/27 V_{sphere} = 4/3 × 3.14/1 × 8/27 V_{sphere} = (4 × 3.14 × 8) / ( 3 × 1 × 27 ) V_{sphere} = (100.48)/(81) V_{sphere} = 1.24 inches^{3} Fun game: Break spheres by matching balls with the same color





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