Question

find the volume of this cylinder. use 3.14 for π. volume of a cylinder v = bh = πr²h v = ? cm³ round your answer to the nearest tenth.

Explanation:

Step1: Substitute the values into the formula

Given \( r = 3\) cm and \( h=8\) cm, and \( \pi = 3.14\). The formula for the volume of a cylinder is \( V=\pi r^{2}h\).
Substitute the values: \( V = 3.14\times3^{2}\times8\).

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

\(3^{2}=3\times3 = 9\). So the formula becomes \( V=3.14\times9\times8\).

Step3: Calculate \(3.14\times9\)

\(3.14\times9 = 28.26\). Now the formula is \( V=28.26\times8\).

Step4: Calculate the final product

\(28.26\times8=226.08\). Rounding \(226.08\) to the nearest tenth gives \(226.1\).

Answer:

\(226.1\)