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Sphere Volume and Surface Area Calculations | Helpful Pattern for Quick Results

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Solve sphere volume and surface area problems. Learn how doubling or quadrupling sphere radius affects volume and surface area. Easily calculate with provided examples and pattern.

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Sphere Volume and Surface Area Calculations | Helpful Pattern for Quick Results

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  1. Tuesday October 9th Daily Check: part*part=part*part outside*whole=outside*whole

  2. Daily Check 1. 2. 3. 4.

  3. Surface Area of a Sphere

  4. Volume of a Sphere

  5. A sphere is inscribed in a cube of volume 125 cubic meters. What is the surface area and volume of the sphere? Give an exact answer and an answer rounded to the nearest hundredth.

  6. Volume = Find the radius. Round to the nearest hundredths.

  7. Volume of a Sphere Circumference of Great Circle = 14 cm Find the volume of the sphere.Round to the nearest hundredths.

  8. Volume of a Sphere Volume = Find radius. Round to the nearest hundredths.

  9. Comparing Ratios

  10. Sphere B Sphere A 3 cm 6 cm Radius of Sphere A Radius of Sphere B How much bigger? 2 times bigger

  11. Sphere B Sphere A 3 cm 6 cm SA of Sphere A SA of Sphere B 36 cm2 144 cm2 How much bigger? 4 times bigger

  12. Sphere B Sphere A 3 cm 6 cm V of Sphere A V of Sphere B 36 cm3 288 cm3 How much bigger? 8 times bigger

  13. Sphere B Sphere A 3 cm 15 cm Radius of Sphere A Radius of Sphere B How much bigger? 5 times bigger

  14. Sphere B Sphere A 3 cm 15 cm SA of Sphere A SA of Sphere B 36 cm2 900 cm2 How much bigger? 25 times bigger

  15. Sphere B Sphere A 3 cm 15 cm V of Sphere A V of Sphere B 36 cm3 4500 cm3 How much bigger? 125 times bigger

  16. There is a pattern that can save you some work!

  17. SET UP A TABLE LIKE THIS

  18. r = 2 r3 = 8 If the radius of a sphere is doubled, what happens to its volume? V is 8 times bigger

  19. r = 4 r2 = 16 If the radius of a sphere is quadrupled, what happens to its surface area? SA is 16 times bigger

  20. 2 cm r = 2 1 cm r2 = 4 4  The radius of sphere A is 1 cm and the radius of sphere B is 2 cm. The SA of sphere A is 4 in2, what is the SA of sphere B? 16 in2

  21. r = 3 10  r3 = 27 The radius of sphere B is 3 times bigger than the radius of sphere A and the V of sphere A is 10 in3, what is the V of sphere B? 270 in3

  22. 20 r = 2 r2 = 4 The SA of sphere B is 4 times bigger than the SA of sphere A. If the radius of sphere B is 20 m, what is the radius of sphere A? 10 m

  23. r = 5 45 r3 = 125 The V of sphere B is 125 times bigger than the V of sphere A. If the radius of sphere B is 45 ft, what is the radius of sphere A? 9 ft

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