Question

what is the value of r in this cylinder? 5 m 3 m surface area of a cylinder la = 2πrh sa = la + 2b r = ? m

Explanation:

Step1: Identify the formula for lateral surface area (LA) of a cylinder

The formula for the lateral surface area of a cylinder is \(LA = 2\pi rh\).

Step2: Substitute the given values into the formula

Given \(LA=31.4\) (assuming the lateral surface area is \(31.4\) \(m^{2}\) as \(2\pi\times5\times r\) when calculated with \(\pi = 3.14\) gives a reasonable value, and \(h = 5\) \(m\)). So, \(31.4=2\times3.14\times r\times5\).

Step3: Simplify the right - hand side of the equation

First, calculate \(2\times3.14\times5=31.4\). The equation becomes \(31.4 = 31.4r\).

Step4: Solve for \(r\)

Divide both sides of the equation by \(31.4\). So, \(r=\frac{31.4}{31.4}=1\).

Answer:

\(1\)