6. Five marks exercise problems III

1. A hemispherical bowl is filled to the brim with juice. The juice is poured into a cylindrical vessel whose radius is \(50\%\) more than its height. If the diameter is same for both the bowl and the cylinder then find the percentage of juice that can be transferred from the bowl into the cylindrical vessel.

 

Answer:

 

The percentage of juice transferred \(=\) \(\%\)

 

 

2. Find the number of coins, \(1.5 \ cm\) in diameter and \(2 \ mm\) thick, to be melted to form a right circular cylinder of height \(10 \ cm\) and diameter \(4.5 \ cm\).

 

Answer:

 

The number of coins \(=\)

 

 

3. A hollow metallic cylinder whose external radius is \(4.3 \ cm\) and internal radius is \(1.1 \ cm\) and whole length is \(4 \ cm\) is melted and recast into a solid cylinder of \(12 \ cm\) long. Find the diameter of solid cylinder.

 

Answer:

 

The diameter of solid cylinder \(=\)  \(cm\)