Question

enter the correct answer. find the volume of the cylinder. 12 cm 7 cm volume formula: v = πr²·h use 3.14 for pi. v = ? cm³

Explanation:

Step1: Substitute the values into the formula

Given \( r = 7\) cm and \( h=12\) cm, and \(\pi = 3.14\). The formula for the volume of a cylinder is \(V=\pi r^{2}h\). Substitute the values: \(V = 3.14\times7^{2}\times12\).

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

First, calculate \(7^{2}=7\times7 = 49\). Then the formula becomes \(V=3.14\times49\times12\).

Step3: Calculate \(3.14\times49\)

\(3.14\times49=(3 + 0.14)\times49=3\times49+0.14\times49=147+6.86 = 153.86\). Now the formula is \(V = 153.86\times12\).

Step4: Calculate the final volume

\(153.86\times12=(150 + 3.86)\times12=150\times12+3.86\times12=1800+46.32=1846.32\).

Answer:

\(1846.32\)