Question

the figure above represents a closed cylindrical tank of height 15m.the radius of the Cross-section is 7m. Calculate a) the curved surface area of the tank. b) the volume of the tank. use π=22/7

Answer 1

a) The curved surface area is;

`660\text{ }m^2`

b) The volume of the cylindrical tank is;

`2310\text{ }m^3`

Step-by-step explanation:

Given that the cylindrical tank has height 15m and radius 7m.

`\begin{gathered} h=15\text{ m} \\ r=7\text{ m} \\ \pi=(22)/(7) \end{gathered}`

The curved surface area of a cylinder can be calculated using the formula;

`A=2\pi rh`

substituting the given values;

`\begin{gathered} A=2*(22)/(7)*7*15 \\ A=660m^2 \end{gathered}`

Therefore, the curved surface area is;

`660\text{ }m^2`

The volume of the cylindrical tank can be calculated using the formula;

`V=\pi r^2h`

Substituting the given values;

`\begin{gathered} V=(22)/(7)*7^2*15 \\ V=2310m^3 \end{gathered}`

Therefore, the volume of the cylindrical tank is;

`2310\text{ }m^3`