glowreeyahjohn4138 glowreeyahjohn4138

26-02-2019
Mathematics

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A cone has a volume of 1,256 cubic centimeters. If the height of the cone is 12 centimeters, what is the radius of the base in centimeters?

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Ashraf82 Ashraf82

26-02-2019

Answer:

The radius 10 cm

Step-by-step explanation:

∵ The volume of the cone = 1/3 πr²h

∵ v = 1256 cm³

∵ h = 12 cm

∴ 1256 = 1/3 π (12) r²

∴ r² = 1256 × 3/12π = 100 cm

∴ r = √100 = 10 cm

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