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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Practice Test

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Exercise 7 Page 875

Use the formula for the volume of a cylinder.

About 36.9 cubic inches

A circular pillar candle can be modeled by the following cylinder.

The height of the cylinder is h= 6 inches. Since the diameter of the base is 2.8 inches, the radius of the cylinder is r= 2.82= 1.4 inches. We are asked to the volume of the candle. Let's do it using the formula for the volume of a cylinder!

\textcolor{darkorange}{V_\text{candle}}=\pi {\color{#0000FF}{r}}^2{\color{#009600}{h}}

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Substitute values and evaluate

r= 1.4, h= 6

\textcolor{darkorange}{V_\text{candle}}=\pi ({\color{#0000FF}{1.4}})^2({\color{#009600}{6}})

Calculate power and product

\textcolor{darkorange}{V_\text{candle}}=11.76 \pi

Use a calculator

\textcolor{darkorange}{V_\text{candle}}=36.945129\ldots

Round to 1 decimal place(s)

\textcolor{darkorange}{V_\text{candle}}\approx \textcolor{darkorange}{36.9}

Therefore, the volume of the candle is about 36.9 cubic inches.