Question

1. a company is filling a cylindrical storage tank with a height of 12 m and a radius of 6 m. what is the approximate volume of the tank using \\( \pi \approx 3.14 \\)?

a. \\( 1356.48 \mathrm { m } ^ { 3 } \\)
b. \\( 678.24 \mathrm { m } ^ { 3 } \\)
c. \\( 1357.92 \mathrm { m } ^ { 3 } \\)
d. \\( 1440.2 \mathrm { m } ^ { 3 } \\)

Explanation:

Step1: Recall the formula for the volume of a cylinder

The formula for the volume \(V\) of a cylinder is \(V=\pi r^{2}h\), where \(r\) is the radius and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(r = 6\) m, \(h=12\) m, and \(\pi\approx3.14\). Then \(V = 3.14\times6^{2}\times12\).
First, calculate \(6^{2}=36\).

Step3: Perform the multiplication

\(V=3.14\times36\times12\).
\(3.14\times36 = 113.04\).
Then \(113.04\times12=1356.48\) m³.

Answer:

A. 1356.48 m³