Need help to solve a question of Mensuration
0
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The radius of base and slant height of a conical
vessel is $3$ cm and $6$ cm respectively. Find the
volume of sufficient water in the vessel such that when a sphere of radius $1$ cm is placed into it, water just immersed it?
geometry 3d spheres solid-geometry
edited Feb 25 at 5:35
Anirban Niloy
8291218
asked Jan 25 at 16:14
Sagar GuptaSagar Gupta
16
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add a comment |
0
$begingroup$
The radius of base and slant height of a conical
vessel is $3$ cm and $6$ cm respectively. Find the
volume of sufficient water in the vessel such that when a sphere of radius $1$ cm is placed into it, water just immersed it?
geometry 3d spheres solid-geometry
edited Feb 25 at 5:35
Anirban Niloy
8291218
asked Jan 25 at 16:14
Sagar GuptaSagar Gupta
16
$endgroup$
$begingroup$
What is the orientation of the conical vessel?
$endgroup$
– Jens
Jan 25 at 18:00
$begingroup$
Cut the whole thing in half with a vertical plane, the cone and water surface becomes a triangle, the sphere an inscribed circle. Use this to figure out the distance from the water level to the tip of the cone. Cut the cone at this distance and calculate its volume. Subtract the volume of the sphere and you are done.
$endgroup$
– Paul Sinclair
Jan 26 at 1:11
add a comment |
0
0
0
$begingroup$
The radius of base and slant height of a conical
vessel is $3$ cm and $6$ cm respectively. Find the
volume of sufficient water in the vessel such that when a sphere of radius $1$ cm is placed into it, water just immersed it?
geometry 3d spheres solid-geometry
edited Feb 25 at 5:35
Anirban Niloy
8291218
asked Jan 25 at 16:14
Sagar GuptaSagar Gupta
16
$endgroup$
The radius of base and slant height of a conical
vessel is $3$ cm and $6$ cm respectively. Find the
volume of sufficient water in the vessel such that when a sphere of radius $1$ cm is placed into it, water just immersed it?
geometry 3d spheres solid-geometry
geometry 3d spheres solid-geometry
edited Feb 25 at 5:35
Anirban Niloy
8291218
asked Jan 25 at 16:14
Sagar GuptaSagar Gupta
16
edited Feb 25 at 5:35
Anirban Niloy
8291218
asked Jan 25 at 16:14
Sagar GuptaSagar Gupta
16
edited Feb 25 at 5:35
Anirban Niloy
8291218
edited Feb 25 at 5:35
Anirban Niloy
8291218
edited Feb 25 at 5:35
Anirban Niloy
8291218
8291218
asked Jan 25 at 16:14
Sagar GuptaSagar Gupta
16
asked Jan 25 at 16:14
Sagar GuptaSagar Gupta
16
asked Jan 25 at 16:14
Sagar GuptaSagar Gupta
16
16
$begingroup$
What is the orientation of the conical vessel?
$endgroup$
– Jens
Jan 25 at 18:00
$begingroup$
Cut the whole thing in half with a vertical plane, the cone and water surface becomes a triangle, the sphere an inscribed circle. Use this to figure out the distance from the water level to the tip of the cone. Cut the cone at this distance and calculate its volume. Subtract the volume of the sphere and you are done.
$endgroup$
– Paul Sinclair
Jan 26 at 1:11
add a comment |
$begingroup$
What is the orientation of the conical vessel?
$endgroup$
– Jens
Jan 25 at 18:00
$begingroup$
Cut the whole thing in half with a vertical plane, the cone and water surface becomes a triangle, the sphere an inscribed circle. Use this to figure out the distance from the water level to the tip of the cone. Cut the cone at this distance and calculate its volume. Subtract the volume of the sphere and you are done.
$endgroup$
– Paul Sinclair
Jan 26 at 1:11
$begingroup$
What is the orientation of the conical vessel?
$endgroup$
– Jens
Jan 25 at 18:00
$begingroup$
What is the orientation of the conical vessel?
$endgroup$
– Jens
Jan 25 at 18:00
$begingroup$
Cut the whole thing in half with a vertical plane, the cone and water surface becomes a triangle, the sphere an inscribed circle. Use this to figure out the distance from the water level to the tip of the cone. Cut the cone at this distance and calculate its volume. Subtract the volume of the sphere and you are done.
$endgroup$
– Paul Sinclair
Jan 26 at 1:11
$begingroup$
Cut the whole thing in half with a vertical plane, the cone and water surface becomes a triangle, the sphere an inscribed circle. Use this to figure out the distance from the water level to the tip of the cone. Cut the cone at this distance and calculate its volume. Subtract the volume of the sphere and you are done.
$endgroup$
– Paul Sinclair
Jan 26 at 1:11
add a comment |
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$begingroup$
What is the orientation of the conical vessel?
$endgroup$
– Jens
Jan 25 at 18:00
$begingroup$
Cut the whole thing in half with a vertical plane, the cone and water surface becomes a triangle, the sphere an inscribed circle. Use this to figure out the distance from the water level to the tip of the cone. Cut the cone at this distance and calculate its volume. Subtract the volume of the sphere and you are done.
$endgroup$
– Paul Sinclair
Jan 26 at 1:11