SOLUTION: A CONE,A CYLINDER AND A SPHERE ALL HAVE THE SAME HEIGHT AND RADIUS.THE VOLUME OF A CYLINDER IS 216 CUBIC INCHES. WHAT IS THE VOLUME OF HE SPHERE? WHAT IS THE VOLUME OF THE CONE

Algebra ->  Volume -> SOLUTION: A CONE,A CYLINDER AND A SPHERE ALL HAVE THE SAME HEIGHT AND RADIUS.THE VOLUME OF A CYLINDER IS 216 CUBIC INCHES. WHAT IS THE VOLUME OF HE SPHERE? WHAT IS THE VOLUME OF THE CONE      Log On


   



Question 970631: A CONE,A CYLINDER AND A SPHERE ALL HAVE THE SAME HEIGHT AND RADIUS.THE VOLUME OF A CYLINDER IS 216 CUBIC INCHES. WHAT IS THE VOLUME OF HE SPHERE?
WHAT IS THE VOLUME OF THE CONE

Answer by Alan3354(69443) About Me  (Show Source):
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A CONE,A CYLINDER AND A SPHERE ALL HAVE THE SAME HEIGHT AND RADIUS.THE VOLUME OF A CYLINDER IS 216 CUBIC INCHES. WHAT IS THE VOLUME OF HE SPHERE?
WHAT IS THE VOLUME OF THE CONE
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The cone is 1/3 of the cylinder = 72 cu inches.
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For the cylinder:
Vol+=+pi%2Ar%5E2%2Ah+=+216
h = r
--> Vol+=+pi%2Ar%5E3+=+216
The sphere is 4/3 times that = 288 cu inches