4. Five marks exercise problems I

1. Water is flowing at the rate of \(15 \ km\) per hour through a pipe of diameter \(14 \ cm\) into a rectangular tank which is \(50 \ m\) long and \(44 \ m\) wide. Find the time in which the level of water in the tanks will rise by \(21 \ cm\).

 

Answer:

 

Time \(=\)  hours

 

 

2. A conical flask is full of water. The flask has base radius \(r\) units and height \(h\) units, the water poured into a cylindrical flask of base radius \(xr\) units. Find the height of water in the cylindrical flask.

 

Answer:

 

The height of water in the cylindrical flask \(=\) $\frac{i}{i{i}^i}$ units

 

[Note: Enter variables and coefficients in separate boxes.]

 

 

3. A solid right circular cone of diameter \(14 \ cm\) and height \(8 \ cm\) is melted to form a hollow sphere. If the external diameter of the sphere is \(10 \ cm\), find the internal diameter.

 

Answer:

 

The internal diameter \(=\)  \(cm\)