Maths-
General
Easy
Question
A Conical vessel of radius 6 cm and height 8 cm 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 the water overflows ?
Hint:
Volume of cone 
Volume of sphere 
The correct answer is: 607.37
Explanation:
- We have given a Conical vessel of radius 6 cm and height 8 cm 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 the water overflows.
Step 1 of 1:
Since, it is given sphere touches the cone
So, radius of sphere = radius of cone
Volume of cone
Volume of sphere
Now, The volume of water overflow will be
= 607.37
Volume of sphere
Now, The volume of water overflow will be
Related Questions to study
Maths-
Find the perimeter and area of the given photo frame.
Find the perimeter and area of the given photo frame.
Maths-General
Maths-
Bloom’s category: Application
Level: Medium
Are points A and G collinear? Explain why or why not.
Bloom’s category: Application
Level: Medium
Are points A and G collinear? Explain why or why not.
Maths-General
Maths-
A Solid sphere and hemisphere have the same total surface areas. Find the ratio of their volumes ?
A Solid sphere and hemisphere have the same total surface areas. Find the ratio of their volumes ?
Maths-General
Maths-
Bloom’s category: Application
Level: Medium
I) Name the intersection of the lines AB and BF.
II) Name the intersection of the planes ABC and BFG.
Bloom’s category: Application
Level: Medium
I) Name the intersection of the lines AB and BF.
II) Name the intersection of the planes ABC and BFG.
Maths-General
Maths-
A square room with 12 m side is to be tiled with square tiles with 2 m side. How many tiles will be required?
A square room with 12 m side is to be tiled with square tiles with 2 m side. How many tiles will be required?
Maths-General
Maths-
The perimeter of the two squares is 12 cm and 24 cm. The area of the bigger square is how many times that of the smaller?
The perimeter of the two squares is 12 cm and 24 cm. The area of the bigger square is how many times that of the smaller?
Maths-General
Maths-
Bloom’s category: Application
Level: Medium
State the relationship of the lines l and m with the page of the notebook (plane).
Bloom’s category: Application
Level: Medium
State the relationship of the lines l and m with the page of the notebook (plane).
Maths-General
Maths-
A square garden has a boundary of 80 m. Find its area
A square garden has a boundary of 80 m. Find its area
Maths-General
Maths-
Bloom’s category: Application
Level: Medium
The line CD intersects the given plane in a
Bloom’s category: Application
Level: Medium
The line CD intersects the given plane in a
Maths-General
Maths-
If the sum of the lengths of the diagonals is 144cm. What will be the perimeter of a square ?
If the sum of the lengths of the diagonals is 144cm. What will be the perimeter of a square ?
Maths-General
Maths-
Alex runs along the boundary of a square ground with 8 m side. How much does he run in 3 rounds?
Alex runs along the boundary of a square ground with 8 m side. How much does he run in 3 rounds?
Maths-General
Maths-
Find the perimeter of a square with side 7 cm
Find the perimeter of a square with side 7 cm
Maths-General
Maths-
Two pages of a notebook intersect in _____.
Two pages of a notebook intersect in _____.
Maths-General
Maths-
Bloom’s category: Application
Level: Medium
Two walls of a room intersect in a
Bloom’s category: Application
Level: Medium
Two walls of a room intersect in a
Maths-General
Maths-
Bloom’s category: Understanding
Level: Medium
i) Give another name for RS and PQ.
ii) Identify all the rays with starting point C.
iii) Are the rays PQ and CQ the same?
Bloom’s category: Understanding
Level: Medium
i) Give another name for RS and PQ.
ii) Identify all the rays with starting point C.
iii) Are the rays PQ and CQ the same?
Maths-General
