A solid consisting of a right circular cone, standing on a hemisphere, is fully submerged in a right circular cylinder full of water. The radius of the cylinder is 3 cm and its height is 6 cm. The radius of the hemisphere is 2 cm and the height of the cone is 4 cm.

Find the volume of water left in the cylinder.

144 cm³

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130 cm³

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136 cm³

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120 cm³

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124 cm³

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Solution

The correct option is C
136 cm³

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Similar questions

A solid consisting of a right circular cone standing on a hemisphere, is placed upright in a right circular cylinder, full of water and touches the bottom. Find the volume of water left in the cylinder having given that the radius of the cylinder is 3 cm and its height is 6 cm. The radius of hemisphere is 2 cm and the height of the cone is 4 cm. ( Also draw the diagram)

Q. A solid consisting of a right cone standing on a hemisphere is placed upright in a right circular cylinder full of water and touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is

60 c m

and its height is

180 c m

, the radius of the hemisphere is

60 c m

and height of the cone is

120 c m

, assuming that the hemisphere and the cone have common base.

Q. A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottoms. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.

A solid consisting of a right circular cone of height $120 c m$ and radius $60 c m$ standing on a hemisphere of radius $60 c m$ is placed upright in a right circular cylinder full of water such that it touches the bottoms. Find the volume of water left in the cylinder, if the radius of the cylinder is $60 c m$ and its height is $180 c m$ .

Q. Question 7
A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a 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 the cylinder is 60 cm and its height is 180 cm.

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The correct option is C 136 cm3

The correct option is C
136 cm³