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How do you think through and answer a real world problem involving cones?

How do you think through and answer a real world problem involving cones?. For example: A conical glass flower vase has a base that is 6 inches in diameter and the vase holds approximately 113 cubic inches of water. What is the height of the vase ?.

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How do you think through and answer a real world problem involving cones?

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  1. How do you think through and answer a real world problem involving cones? For example: A conical glass flower vase has a base that is 6 inches in diameter and the vase holds approximately 113 cubic inches of water. What is the height of the vase?

  2. In this lesson you will learn how to solve real world problems by finding the volume of cones.

  3. Volume of Cone V = r2h h B=r2

  4. 250 cubic inches of water means I have a volume of 250 in3 • in • in2 • in3 • length • area • volume

  5. A conical glass flower vase has a base that is 6 inches in diameter and the vase holds approximately 113 cubic inches of water. What is the height of the vase? V = r2h

  6. d=6 in so r=3 in • V =r2h • Given: radius = 3 in • volume = 113 in3 • Find: height = ???

  7. V =r2h • 113 in3 = 2xh • 113 in3 = 32 xh • h = • height 12 in

  8. V = r2h • V = 2 x 25.13 in3 • = 2 x 25.13 in3 • 105 in5 • Actual: h = 6 in V = 25.13 in3 r= 2in

  9. In this lesson you learned how to solve real world problems by finding the volume of cones.

  10. A wax candle is in the shape of a right circular cone. The height of the candle is 9cm and the candle contains approximately 167.55 cm3 of wax. What is the radius of the candle?

  11. V = r2h • 113.1 cm3 = 2 x9cm • 2= • r = • = 2 cm Find: radius= ?? Given: height = 9 cm volume = 113.1 cm3

  12. A cement truck dumps 37.7 cubic feet of cement mix at a construction site in the shape of a conical mound. The base of the pile of cement has an approximate diameter of 6 ft. How tall is the mound of cement?

  13. V = r2h • 37.7 ft3 = 2 xh • h = • h = 4 ft Find: height = ?? Given: diameter = 6ft volume = 37.7 ft3

  14. An ice cream shop stores ice cream in cylindrical containers that are 25 cm tall with radius 15 cm. They sell scoops of ice cream that are 6 cm in diameter. Approximately how many scoops of ice cream will the store be able to serve out of one full cylindrical container?

  15. An ice cream cone has a radius of 2 in. How much melted ice cream will the cone hold if it has a height of 6 inches? 2. An art sculpture has a base in the shape of a cone. It took approximately 2.1 cubic ft of cement to make the base which has a diameter of 2 ft. How tall is the base?

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