Question

find the volume of an oblique cylinder with a base diameter of 6 cm and a height of 32 cm. 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 radius

The radius $r$ is half of the diameter. Given diameter $d = 6$ cm, so $r=\frac{d}{2}=\frac{6}{2}=3$ cm.

Step2: Find the base - area

The formula for the area of a circle (base - area of the cylinder) is $A=\pi r^{2}$. Substitute $r = 3$ cm and $\pi=3.14$ into the formula: $A = 3.14\times3^{2}=3.14\times9 = 28.26$ $cm^{2}$.

Step3: Calculate the volume

The volume formula for a cylinder (oblique or right - circular) is $V=Ah$, where $A$ is the base - area and $h$ is the height. Substitute $A = 28.26$ $cm^{2}$ and $h = 32$ cm into the formula: $V=28.26\times32=904.32$ $cm^{3}$.

Step4: Round the result

Round $904.32$ $cm^{3}$ to the nearest whole number. Since the decimal part $0.32\lt0.5$, the rounded value is $904$ $cm^{3}$.

Answer:

$904$ $cm^{3}$