Question

the volume of a cylinder with height h and radius r can be found using the formula v = πr²h
find the volume of a cylinder with radius 5 feet and height 10 feet.
ft³
question help: video

Explanation:

Step1: Substitute the values into the formula

Given \(r = 5\) and \(h=10\), substitute into \(V=\pi r^{2}h\). So \(V=\pi\times(5)^{2}\times10\).

Step2: Calculate \((5)^{2}\)

\((5)^{2}=25\), then the formula becomes \(V = \pi\times25\times10\).

Step3: Multiply 25 and 10

\(25\times10 = 250\), so \(V=250\pi\).

Step4: Use \(\pi\approx3.14\)

\(V\approx250\times3.14\).
\(250\times3.14=(200 + 50)\times3.14=200\times3.14+50\times3.14=628+157 = 785\).

Answer:

\(785\)