Question

question: a cylinder has a base diameter of 18 inches and a height of 17 inches. what is its volume in cubic inches, to the nearest tenths place? answer: attempt 1 out of 2 v = in³ submit answer show examples

Explanation:

Step1: Find the radius

The diameter $d = 18$ inches, and the radius $r=\frac{d}{2}$. So $r=\frac{18}{2}=9$ inches.

Step2: Use the cylinder - volume formula

The volume formula of a cylinder is $V=\pi r^{2}h$, where $h = 17$ inches and $r = 9$ inches. Substitute the values into the formula: $V=\pi\times9^{2}\times17=\pi\times81\times17 = 1377\pi$.

Step3: Calculate the numerical value

Take $\pi\approx3.14159$. Then $V\approx1377\times3.14159 = 4325.97943$.

Step4: Round to the nearest tenths

Rounding $4325.97943$ to the nearest tenths gives $4326.0$.

Answer:

$4326.0$