# SOLUTION: A solid cylindrical stone pillar has a top in the shape of a hemisphere. Given that the pillar is 40 cm in diameter and has the same mass as a solid stone sphere of the same materi

Algebra ->  Algebra  -> Bodies-in-space -> SOLUTION: A solid cylindrical stone pillar has a top in the shape of a hemisphere. Given that the pillar is 40 cm in diameter and has the same mass as a solid stone sphere of the same materi      Log On

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 Click here to see ALL problems on Bodies-in-space Question 388010: A solid cylindrical stone pillar has a top in the shape of a hemisphere. Given that the pillar is 40 cm in diameter and has the same mass as a solid stone sphere of the same material, with radius 40 cm. Find the height of the pillar.Answer by Alan3354(30983)   (Show Source): You can put this solution on YOUR website! A solid cylindrical stone pillar has a top in the shape of a hemisphere. Given that the pillar is 40 cm in diameter and has the same mass as a solid stone sphere of the same material, with radius 40 cm. Find the height of the pillar. ------------------ The same material and the same weight --> same volume. ------------- The volume of the sphere = V = 256000pi/3 cc ------------ For the cylinder: pi*40*(40h + 2*1600/3) = 256000pi/3 1600h + 12800/3 = 256000/3 4800h = 12800 = 256000 48h = 2432 h = 50.333 cm for the cylindrical part height overall = 50.333 + r = 90.333 cm