elizzabel7059 elizzabel7059

08-09-2018
Mathematics

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The total surface are of a can is 296.73in ^2. if the radius of the can is 4.5 inches what is the height of the can

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tramserran tramserran

08-09-2018

Surface Area of can (SA) = (2 · π · r²) + (2 · π · r · h)

296.73 = [2 · π · (4.5)²] + [2 · π · (4.5) · h]

296.73 = 40.5π + 9π · h

296.73 - 40.5π = 9π · h

(296.73 - 40.5π)/9π = h

169.5/28.27 = h

6 = h

Answer: 6 inches

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