Question

find the volume of the solid to the nearest cubic centimeter. (assume ( r = 1.4 ) and ( h = 3 ).) ( mathrm{cm}^{3} ) enter a number.

Explanation:

Step1: Recall the volume formula for a cylinder

The volume formula for a cylinder is \(V=\pi r^{2}h\).

Step2: Substitute the given values of \(r\) and \(h\)

Given \(r = 1.4\) and \(h=3\), substitute into the formula: \(V=\pi\times(1.4)^{2}\times3\).
First, calculate \((1.4)^{2}=1.96\). Then \(V=\pi\times1.96\times 3\).
\(1.96\times3 = 5.88\). So \(V = 5.88\pi\).

Step3: Calculate the numerical value

Taking \(\pi\approx3.14\), then \(V=5.88\times3.14\).
\(5.88\times3.14=(6 - 0.12)\times3.14=6\times3.14-0.12\times3.14\).
\(6\times3.14 = 18.84\), \(0.12\times3.14 = 0.3768\).
\(V=18.84- 0.3768=18.4632\approx18\) (to the nearest cubic centimeter).

Answer:

\(18\)