Question

find the volume of an engine cylinder with a bore of 6 and a stroke of 5. (2 decimals)
question 8 5 pts
find the volume of an engine cylinder with a bore of 7.86 and a stroke of 8.41. (2 decimals)

Explanation:

Step1: Recall volume formula for cylinder

The volume formula for a cylinder is $V=\pi r^{2}h$. The bore is the diameter $d$ of the cylinder, so $r = \frac{d}{2}$.

Step2: Solve for first - cylinder

Given $d = 6$, then $r=\frac{6}{2}=3$ and $h = 5$. Substitute into the formula: $V_1=\pi\times3^{2}\times5=\pi\times9\times5 = 45\pi\approx141.37$.

Step3: Solve for second - cylinder

Given $d = 7.86$, then $r=\frac{7.86}{2}=3.93$ and $h = 8.41$. Substitute into the formula: $V_2=\pi\times(3.93)^{2}\times8.41=\pi\times15.4449\times8.41\approx15.4449\times8.41\times3.14\approx408.17$.

Answer:

141.37
408.17