SOLUTION: A cylindrical has a radius of 4.3 cm and a height of 8.1 cm. How much will a conical glass that has a radius of 8.6 cm and a height of 5.7 cm hold? Is this more or less than the cy

Algebra ->  Volume -> SOLUTION: A cylindrical has a radius of 4.3 cm and a height of 8.1 cm. How much will a conical glass that has a radius of 8.6 cm and a height of 5.7 cm hold? Is this more or less than the cy      Log On


   



Question 201236: A cylindrical has a radius of 4.3 cm and a height of 8.1 cm. How much will a conical glass that has a radius of 8.6 cm and a height of 5.7 cm hold? Is this more or less than the cylindrical glass?
Answer by Alan3354(69443) About Me  (Show Source):
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A cylindrical has a radius of 4.3 cm and a height of 8.1 cm. How much will a conical glass that has a radius of 8.6 cm and a height of 5.7 cm hold? Is this more or less than the cylindrical glass?
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Cylinder volume:
V = pi*r^2*h
V = 4.3^2*8.1pi
V = 149.769pi cubic cm
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Cone volume:
V = pi*r^2*h/3
V = 8.6^2*5.7pi/3
V = 140.524pi cubic cm
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The cylinder is larger.