Question

1. a cylindrical swimming pool has a radius of 7 m and a height of 2 m. what is the pools volume in cubic meters? a. $49\pi\mathrm{m}^{3}$ b. $98\pi\mathrm{m}^{3}$ c. $294\pi\mathrm{m}^{3}$ d. $392\pi\mathrm{m}^{3}$

Explanation:

Step1: Recall the formula for the volume of a cylinder

The volume formula for 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 \(r = 7\mathrm{m}\) and \(h=2\mathrm{m}\). Substitute into \(V=\pi r^{2}h\), we get \(V=\pi\times(7)^{2}\times2\).

Step3: Calculate the value

First, calculate \((7)^{2}=49\). Then \(V=\pi\times49\times 2\). Since \(49\times2 = 98\), so \(V = 98\pi\mathrm{m}^3\).

Answer:

B. \(98\pi\mathrm{m}^3\)