a solid consiting of right circular cone of height 12o CM and radius 60 CM is placed upright in right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder if the radius of cylinder is 6 CM and it's height is 80 cm
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Answer:
Given, Radius of cone=60cm
Height of cone=120cm
Radius of hemisphere=60cm
Radius of cylinder=60cm
Height of cylinder=180cm
Volume of cone is,
=31πr2h
=31π×6602×120
=14000πcm3
Volume of hemisphere is,
=34πr3h
=32π603h
=144000πcm3
Volume of cylinder is,
=πr2h
=π×602×180
=648000πcm3
Volume of water left in cylinder is
=πr2h−31πr2h−34πr3h
=(648000−288000)π
=360000π
=1130400cm3
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