Question

find the volume of an oblique cylinder with a base radius of 6 m and a height of 17 m. use the value 3.14 for π, and round your answer to the nearest whole number. be sure to include the correct unit in your answer.

Explanation:

Step1: Calculate the base area

The formula for the area of a circle (base of the cylinder) is \(A = \pi r^{2}\). Given \(r = 6\space m\) and \(\pi=3.14\), we have \(A=3.14\times6^{2}=3.14\times36 = 113.04\space m^{2}\).

Step2: Calculate the volume of the cylinder

The formula for the volume of a cylinder (oblique or right - circular, since the volume formula \(V = A\times h\) holds for both) is \(V=A\times h\). Given \(h = 17\space m\) and \(A = 113.04\space m^{2}\), we have \(V=113.04\times17=1921.68\space m^{3}\).

Step3: Round the result

Rounding \(1921.68\) to the nearest whole number. Since the decimal part \(0.68\gt0.5\), we round up.

Answer:

\(1922\space m^{3}\)