Question

Cylindrical water tank 10ft diameter 7ft height what is the volume?use the value 3.14 for pi round to the nearest whole number

Answer 1

Based on the cylindrical water tank with a diameter of 10ft and height of 7ft height, the volume rounded to the nearest whole number is 2198 cubic feet.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = π
`r^2`h

Where:

• V represents the volume of a cylinder.
• h represents the height or length of a cylinder.
• r represents the radius of a cylinder.

Note: Radius = diameter/2

Radius = 10/2 = 5 feet.

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of cylinder, V = π ×
`r^2` × h

Volume of cylinder, V = 3.14 ×
`10^2` × 7

Volume of cylinder, V = 314 × 7

Volume of cylinder, V = 2198 cubic feet.

Answer 2

The volume of a cylinder can be calculated by the product of the area of its base and its height.

`V=A_b\cdot h`

We already have the height, bu t we need to calculate the area of the base.

The base is a circunference with diameter 10 ft. The radius of the circunference is half the diameter, so:

`r=(10)/(2)=5`

The area of a circunference can be calculate using its radius:

`\begin{gathered} A_b=\pi r^2 \\ A_b=\pi5^2 \\ A_b=25\pi \end{gathered}`

So, the volume is:

`\begin{gathered} V=A_b\cdot h \\ V=25\pi\cdot7 \\ V=175\pi \end{gathered}`

Noiw, using the value of 3.14 to pi, we have:

`\begin{gathered} V=175\pi \\ V=175\cdot3.14 \\ V=549.5 \end{gathered}`

So,