2002
Mathematics
67ca00ce0c643c71d77dee1f
In the diagram above, a cylinder is summounted by a hemisphere bowl. Calculate the volume of the solid.
A.
180 πcm3
B.
162 πcm3
C.
216 πcm3
D.
198 πcm3
Correct Answer: 198 πcm3
Explanation
Volume of cylinder = πr2h = π x 32 x 20 = π x 9 x 20 = 180 πcm3 Volume of hemisphere = 2/3πr3 = 2/3 x π x 32 = 2 x π x 32 = 2 x π x 9 = 18π = Volume of the solid = 180π x 18π = 198πcm3
Volume of cylinder = πr2h = π x 32 x 20 = π x 9 x 20 = 180 πcm3 Volume of hemisphere = 2/3πr3 = 2/3 x π x 32 = 2 x π x 32 = 2 x π x 9 = 18π = Volume of the solid = 180π x 18π = 198πcm3THIS WEEK's
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