Question

a cylinder - shaped candle has a diameter of 5 inches and a height of 8 inches. what is the volume of the cylinder? use 3.14 for pi. round to the nearest tenth, if necessary.
○ 62.8 in³
○ 125.6 in³
○ 157 in³
○ 628 in³

Explanation:

Step1: Find the radius

The diameter is 5 inches, so the radius \( r=\frac{d}{2}=\frac{5}{2} = 2.5 \) inches.

Step2: Recall the volume formula for a cylinder

The volume \( V \) of a cylinder is given by \( V=\pi r^{2}h \), where \( \pi = 3.14 \), \( r = 2.5 \) inches, and \( h=8 \) inches.

Step3: Substitute the values into the formula

First, calculate \( r^{2}=(2.5)^{2}=6.25 \). Then, \( V = 3.14\times6.25\times8 \).
Calculate \( 3.14\times6.25 = 19.625 \), then \( 19.625\times8=157 \) cubic inches.

Answer:

157 in³ (corresponding to the option "157 in³")