Question

volume of a cylinder
find the volume of a cylinder with radius of 5 inches and height 3 inches.
the volume is
use the (pi) button on your calculator to ensure accuracy.
round your answer to the nearest hundredth.
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Explanation:

Step1: Recall the formula for the volume of a cylinder

The formula for the volume \( V \) of a cylinder is \( V=\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height.

Step2: Substitute the given values into the formula

We are given that \( r = 5 \) inches and \( h=3 \) inches. Substituting these values into the formula, we get \( V=\pi\times(5)^{2}\times3 \).

Step3: Simplify the expression

First, calculate \( 5^{2}=25 \). Then, multiply \( 25\times3 = 75 \). So the volume is \( V = 75\pi \).

Step4: Calculate the numerical value

Using the \( \pi \) button on the calculator, \( 75\pi\approx75\times3.1415926535 = 235.619449\). Rounding to the nearest hundredth, we get \( 235.62 \).

Answer:

\( 235.62 \) cubic inches