A cylindrical jar of radius 12 cm contains orange juice to a depth of 20 cm.A child drops an orange into the jar and the level of juice rises by 6.75 cm. What is the radius of the orange, if it is the shape of a complete sphere? Find the surface area of the sphere.

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Answers

  • vag
  • Ambitious
2016-02-19T23:04:32+05:30
Volume of the sphere = 4/3 * 22/7 * r^3
Volume of water displaced by it = 4/3 * 22/7 * r^3

Water raises by 6.75cm. Then, volume of water displaced = Volume of cylinder(water) of r=12cm and h=6.75cm
=>4/3 * 22/7 * r^3 = 22/7 * 12 * 12 * 6.75
=>r^3 = 729
=>r = 9cm
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