Exercise 20 Page 840

The cylinder-shaped body of a TIROS can be modeled by the following cylinder with a diameter of 42 inches and a height of h= 19 inches. Since the radius is half of the diameter, we get that r= 422= 21 inches.

We are asked to find its volume \textcolor{darkorange}{V_\text{cylinder}} and round it to the nearest tenth. Let's use the formula for the volume of a cylinder.

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

SubstituteII

r= 21, h= 19

\textcolor{darkorange}{V_\text{cylinder}} = \pi ({\color{#0000FF}{21}})^2 ({\color{#009600}{19}})

▼

Evaluate right-hand side

CalcPowProd

Calculate power and product

\textcolor{darkorange}{V_\text{cylinder}} = 8379\pi

UseCalc

Use a calculator

\textcolor{darkorange}{V_\text{cylinder}} = 26\,323.404844\ldots

RoundDec

Round to 1 decimal place(s)

\textcolor{darkorange}{V_\text{cylinder}}\approx \textcolor{darkorange}{26\,323.4}

Therefore, the volume of the TIROS is about 26 323.4 cubic inches.