Maths-
General
Easy
Question
An inverted conical vessel of 6 cm radius and 8 cm height is completely filled with water. A Sphere is lowered into the water and its size is such that when it touches the sides , it is just immersed. What fraction of water overflows ?
Hint:
Volume of sphere is
.
Volume of the cone is
.
The correct answer is: 0.66
Explanation:
- We have given an inverted conical vessel of radius and height is completely filled with water. A Sphere is lowered into the water and its size is such that when it touches the sides , it is just immersed.
- We have to find the fraction of water flow.
Step 1 of 1:
The conical vessel of radius 6cm and height 8cm
The volume of cone
![V equals 1 third pi r squared h](data:image/png;base64,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)
![equals 1 third pi left parenthesis 6 right parenthesis squared cross times 8](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGcAAAAjCAYAAACJiBSDAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAwVJREFUeNrtWUFkHVEUfb74i4pSVVFVJSIiiwgVVVXx6aqyiFJVWVSVLyKiuy6qqwpRXVRVqaqq6KYqi4oKURERUaqqi6oQXVR1/0WM8Wnv5QzT2zfz3+T/l7w/7uHwZ+a9mTfv/HfuvW+M8Y9B4j3iF6MIDovEOvGPTkW4UHFUHIWKo+IoVByFiqPidG6szJi4SRxQcdrHDHGhQPsF9MlCBdc/qzjtYYS4tY9+m+ibh6jMokj6AE/yqOX8GPENsYFJfkccT10/S9zIuS+3Xfc05iPEx8RdjG2FeKpsf4BRiCNRhxiDOD5KnLKIsQGRJE7ivv2exv2COE/sIVZhsx/LJs4D4qw4N0z85Nh/zhKrWNBlCOQLkSXGxd0w4RyI9zJsMeEdtGU7uCj6PyNed3zWeeIHsWLeY6W1wl2w6DUDO+sV4vwsGiMOImZIvCKeJr4lTqbO8/GEaNuALaTxvcC/vop7JGBhhgqM1SZCK2EM4s2c+JM87CbL2oFICX4Q+0SbZoZlsDUtYQXGsLmpjOfEbSYxaTFchEkyzBjkpOO3xQG8ZmbtrMQeTGz6eNfSrpkxFq5PLqMfW8YF4nZGbdMJr2dBVh2FOUN8jdVdTWWOO3mpfSi2lizztZzYkGdrjYy0lDO7Xy1s7SDEWcoQoSbeOVhwQH+ZOr6GWCSxilVhRNyoOFhYnuhFhSlia1G3F71PiTdTx/eJTxxT6RmIKTFkqSVmcY9OCOOaEHwz9j27YcSerkgG0lX/PFbJAKrrvCK0iiB7CzGHcY74lXjJsQjdrzAu165AoBpWeAW/+Z2nQxdm0vy/4TiG2LBoab9l8fATxOdIIpoQS2ZDrbZvfOIq3jGGla2LssEbavD9PTyYs6RHxOOenudz47N0WMPSrQr7WfH4zGlT7JMBx5m6UfyT4ioCRD+2VRQBoQ8p8TYqdkUAkDsLt3VKwsMxpIhc/I3rdISJXlPCL31lQqRTECZGkBQoDhm8FcHbE8m3FN4x4A9lN3RqDh+8h7UMG4uwYzCh0+KOv2tt3iXAMRDDAAAAynRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz49PC9tbz48bWZyYWM+PG1uPjE8L21uPjxtbj4zPC9tbj48L21mcmFjPjxtaT4mI3gzQzA7PC9taT48bW8+KDwvbW8+PG1uPjY8L21uPjxtc3VwPjxtbz4pPC9tbz48bW4+MjwvbW4+PC9tc3VwPjxtbz4mI3hENzs8L21vPjxtbj44PC9tbj48L21hdGg+YRSqpQAAAABJRU5ErkJggg==)
![equals 301.59 cm cubed](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGUAAAARCAYAAADEz2IYAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAApFJREFUeNrtWE9EBFEcHmtlD4l06NAhVpIkkQ5JsiRrrZWlQ4esRMekazqlS6cksdbqkMRanZIuWSsdlqRDh0Syx7V06JCxhun3+Ibnea/ebjOzW+bjO8xv3+z783vv+35vDCNAu2CDDeIjcSFYks7CCLEaLENnIUR8D5ahc9BHPCKuevHnMeIV8ZNoEl+IB+hURA/xmFgBs4jJMEzcge7q6rSMIuaItxgrG3ORGG2Tr6x41UGJmCZ2cbEJ4rWk7Q0xxT0nEZPhlLiuWFjZJHXATPWJOAXpCBPXiM/Efp8TwzbjHuboGz6E5yXioaQdO1XLv1xw3aTcK04FG9t+m2TM9KujKHYfj6Ki/IvhNz+SYn1juA9CbIZYxqJVBalx+ksg0Sbm0M3NqYL4HaRYhlm835Iu25oT74dxvWDAPN4FiXPAYjWfkvJKnJTEB+EvvPzWiYtIGFvUM6G/dUj3KGIZKEFCiK8IC++spQmJH/TauBxuNrFLDVykfpuUBiSTFR1b3K4VZeoNZh8CkzglDeFUb/zQXxHvi1KUlcStdpZ5vdhdFUxcd2CmC6fAgHFPomp7xuVMVn2V0CdjgTgknJSPb6pCZ0yRJuOu7PZW5MtBNxLDo6aQr4gL8qWqtMqabSPCeO0W5dJ2eQ6eVxXsuMcVi1f0ICnNVDbMmHe557rGSflzSRmH2fNgd5mcpO2JCyWxDGMwdh2w+8IA95zT8JSOTkoZBhqGwcVgphnFRXMTbZmUbWtIjP2D3DJcEKc5844jIWnJ5ZW/6A7Af1KSkr6KtiG0y/+lpLBa+5IzzhIqGlUhkOc+cWQVVZKh4Wl8bAkn00LpXcCtXcQ8xmfBzM9xqmWYgM9Y+NST+g+eEqBJfAFP19Mf/D57FQAAAHp0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+PTwvbW8+PG1uPjMwMS41OTwvbW4+PG1zdXA+PG1pPmNtPC9taT48bW4+MzwvbW4+PC9tc3VwPjwvbWF0aD6DsHveAAAAAElFTkSuQmCC)
Since the sphere touches the cone, then
Radius of sphere = radius of cone = 6cm
![V equals 4 over 3 pi r cubed](data:image/png;base64,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)
![equals 4 over 3 pi left parenthesis 6 right parenthesis cubed](data:image/png;base64,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)
![equals 904.77 cm cubed](data:image/png;base64,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)
The volume of water flow will be
![equals 904.77 cm cubed minus 301.59 cm cubed](data:image/png;base64,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)
= 603.18cm3
So, The fraction will be
![equals fraction numerator 603.18 over denominator 904.77 end fraction](data:image/png;base64,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)
= 0.66
Since the sphere touches the cone, then
Radius of sphere = radius of cone = 6cm
The volume of water flow will be
So, The fraction will be
Related Questions to study
Maths-
A rectangle field is 34 m long and 15 m broad. Find the cost of
(a) ploughing the field at Rs 6 per square metre.
(b) fencing it at R s 9.50 per metre.
A rectangle field is 34 m long and 15 m broad. Find the cost of
(a) ploughing the field at Rs 6 per square metre.
(b) fencing it at R s 9.50 per metre.
Maths-General
Maths-
What is the least number of solid metallic spheres of 6 cm diameter that should be melted and recast to form a solid metal right circular cone whose height is 135 cm and diameter is 4 cm?
What is the least number of solid metallic spheres of 6 cm diameter that should be melted and recast to form a solid metal right circular cone whose height is 135 cm and diameter is 4 cm?
Maths-General
Maths-
A Hollow sphere of internal and external diameters of 6 cm and 10 cm respectively is melted into a cone of 8 cm base diameter . Find the height of the cone ?
A Hollow sphere of internal and external diameters of 6 cm and 10 cm respectively is melted into a cone of 8 cm base diameter . Find the height of the cone ?
Maths-General
Maths-
Find the area of a rectangle whose length is 10 m and breadth is 6 m.
Find the area of a rectangle whose length is 10 m and breadth is 6 m.
Maths-General
Maths-
The perimeter of a rectangular plot is 180 m and its area is 1800 sq.metre. Take the length of the plot as x m. Use the perimeter to write the value of the breadth in terms of x. Use the value of length , breadth and the area to write an equation in x. Solve the equation to calculate the length and breadth of the plot.
The perimeter of a rectangular plot is 180 m and its area is 1800 sq.metre. Take the length of the plot as x m. Use the perimeter to write the value of the breadth in terms of x. Use the value of length , breadth and the area to write an equation in x. Solve the equation to calculate the length and breadth of the plot.
Maths-General
Maths-
Find the area and perimeter of a rectangle whose l = 70mand b = 50m.
Find the area and perimeter of a rectangle whose l = 70mand b = 50m.
Maths-General
Maths-
A Conical tent is to accommodate 77 persons. Each person must have 16 cubic metre of air to breathe. Given the radius of the tent as 7 m. Find the height of the tent and also its C.S.A?
A Conical tent is to accommodate 77 persons. Each person must have 16 cubic metre of air to breathe. Given the radius of the tent as 7 m. Find the height of the tent and also its C.S.A?
Maths-General
Maths-
Find the breadth of a rectangle whose area is 144 m2 and length is 16 m. Also find its perimeter.
Find the breadth of a rectangle whose area is 144 m2 and length is 16 m. Also find its perimeter.
Maths-General
Maths-
The radius of the base of a circular cone Is halved. Keeping the height same , What is the ratio of the volume of the reduced cone to that of the original cone ?
The radius of the base of a circular cone Is halved. Keeping the height same , What is the ratio of the volume of the reduced cone to that of the original cone ?
Maths-General
Maths-
If the length and breadth of a rectangle are 18 m and 12 m, then its area is ______.
If the length and breadth of a rectangle are 18 m and 12 m, then its area is ______.
Maths-General
Maths-
A child travels 13 m to cross a rectangular field diagonally. If the length of the field is 5 m, find its area.
![](data:image/png;base64,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)
A child travels 13 m to cross a rectangular field diagonally. If the length of the field is 5 m, find its area.
![](data:image/png;base64,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)
Maths-General
Maths-
If the length and breadth of a room are increased by 1m and area is increased by 21 sq.metre.If the length is increased by 1m and breadth is decreased by 1 m , then the area is decreased by 5 sq.mt. Find the perimeter and area of the room ?
If the length and breadth of a room are increased by 1m and area is increased by 21 sq.metre.If the length is increased by 1m and breadth is decreased by 1 m , then the area is decreased by 5 sq.mt. Find the perimeter and area of the room ?
Maths-General
Maths-
A Right angled triangle having perpendicular sides of 12 cm and 5 cm is rotated about its hypotenuse. For the solid thus generated , find the volume of the solid (Double cone)?
A Right angled triangle having perpendicular sides of 12 cm and 5 cm is rotated about its hypotenuse. For the solid thus generated , find the volume of the solid (Double cone)?
Maths-General
Maths-
The perimeter of a square piece of land is 64 m. Find the cost of laying a lawn on the land at the cost of Rs 5 per sq. m.
The perimeter of a square piece of land is 64 m. Find the cost of laying a lawn on the land at the cost of Rs 5 per sq. m.
Maths-General
Maths-
The area of a square of side 30 m is equal to the area of a rectangle of length 15 m. Find the perimeter of the square and rectangle.
The area of a square of side 30 m is equal to the area of a rectangle of length 15 m. Find the perimeter of the square and rectangle.
Maths-General