Question

find the volume of this cylinder. use 3.14 for π. 3 m 7 m volume of a cylinder v = bh = πr²h v = ? m³ round your answer to the nearest tenth.

Explanation:

Step1: Substitute the values into the formula

The formula for the volume of a cylinder is \(V=\pi r^{2}h\). Given \(r = 3\space m\), \(h=7\space m\), and \(\pi = 3.14\).
Substitute these values: \(V=3.14\times3^{2}\times7\)

Step2: Calculate \(3^{2}\)

\(3^{2}=3\times3 = 9\). So the formula becomes \(V=3.14\times9\times7\)

Step3: Calculate \(3.14\times9\)

\(3.14\times9=(3 + 0.14)\times9=3\times9+0.14\times9=27+1.26 = 28.26\). Now \(V = 28.26\times7\)

Step4: Calculate \(28.26\times7\)

\(28.26\times7=(28+0.26)\times7=28\times7+0.26\times7=196 + 1.82=197.82\)

Answer:

\(197.8\space m^{3}\)