Chapter 12, Problem 2STP

To determine

To calculate:To find the volume of a hose where the shape is of a cylinder with a diameter is $1.25$$inches$ and length is $22$$feet$ .

Answer to Problem 2STP

The volume of the hose is $324$$i{n}^3$ .

The correct answer is $H.$$324$$i{n}^3$ .

Explanation of Solution

Given information:

Given shape of hose is of a cylinder with a diameter is $1.25$$inches$ and length is $22$$feet$ .

Formula Used:

Volume of a cylinder is given by : $V=\pi r^{2}h$ ; where $r$ is the radius and $h$ is the length of the cylinder.

Radius $=$ Diameter/ $2$$1$$foot$$=$$12$$inches$$\pi =3.14$

Calculation:

Given Diameter of a cylinder $=$$1.25$$inches$

Length of the cylinder $=$$22$$feet$ .

From the formula of radius, we have:

Radius $=$ Diameter/ $2$

Substituting the values in above equation, we have:

Radius $r$$=$$\frac{1.25}{2}=0.625$

Since, $1$$foot$$=$$12$$inches$

Thus, $22$$feet$$=$$22\times 12$$=$$264$$inches$ .

Substituting the above values in the formula for the Volume of hose, we have:

  $V=3.14{\left(0.625\right)}^2\left(264\right)$

Solving the above equation, we have:

  $V=323.81$

Rounding off to nearest whole number, we have:

  $V=324$

Thus, the volume of the hose is $324$$i{n}^3$ .

Conclusion:

The volume of the hose is $324$$i{n}^3$ .

The correct answer is $H.$$324$$i{n}^3$ .