Question

a cylinder has a radius of 6 inches and a height of 9.2 inches. what is the volume of the cylinder? write answer in terms of π and round to the nearest tenth if necessary. v = □ cubic inches

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 \( r = 6 \) inches and \( h=9.2 \) inches. Substituting these values into the formula, we get \( V=\pi\times(6)^{2}\times9.2 \).

Step3: Calculate \( (6)^{2} \)

First, calculate \( 6^{2}=36 \). So now the formula becomes \( V = \pi\times36\times9.2 \).

Step4: Multiply 36 and 9.2

Calculate \( 36\times9.2 = 331.2 \). So the volume \( V = 331.2\pi \) cubic inches.

Answer:

\( 331.2\pi \)