Maths-
General
Easy
Question
A hemispherical container of 4 cm radius is filled to the brim with milk . The milk is then poured in a vertical right circular cone of 8 cm radius and 16 cm height. What percentage of the vertical right circular cone remains empty ?
Hint:
Volume of hemisphere
The correct answer is: 87.5%
Explanation:
- We have given A hemispherical container of 4 cm radius is filled to the brim with milk . The milk is then poured in a vertical right circular cone of 8 cm radius and 16 cm height.
- We have to find What percentage of the vertical right circular cone remains empty.
Step 1 of 1;
Volume of hemispherical cone
Volume of the cone
Volume of the cone remain empty
Percent of the cone empty
Volume of the cone
Volume of the cone remain empty
Percent of the cone empty
Related Questions to study
Maths-
An ice cream cone is in the union of a right circular cone and hemisphere that has the same base as the cone . Find the Volume of the ice cream if the height of the cone is 9 cm and radius of its base is 2.5 cm.
An ice cream cone is in the union of a right circular cone and hemisphere that has the same base as the cone . Find the Volume of the ice cream if the height of the cone is 9 cm and radius of its base is 2.5 cm.
Maths-General
Maths-
A Hemispherical bowl of 36 cm internal diameter contains a liquid. This liquid is to be filled into right circular cone shaped bottles of 3 cm radius and 18 cm height , How many bottles are required to empty the bowl ?
A Hemispherical bowl of 36 cm internal diameter contains a liquid. This liquid is to be filled into right circular cone shaped bottles of 3 cm radius and 18 cm height , How many bottles are required to empty the bowl ?
Maths-General
Maths-
A hemisphere of 5 cm radius surmounted by a right circular cone of 5 cm base radius. Find the volume of the solid correct to two places of decimals if the height of the cone is 7 cm.
A hemisphere of 5 cm radius surmounted by a right circular cone of 5 cm base radius. Find the volume of the solid correct to two places of decimals if the height of the cone is 7 cm.
Maths-General
Maths-
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 ?
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 ?
Maths-General
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.
A child travels 13 m to cross a rectangular field diagonally. If the length of the field is 5 m, find its area.
Maths-General