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McGraw Hill Integrated II, 2012 View details

6. Surface Areas and Volumes of Spheres

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Exercise 56 Page 855

Fine the volume of one storage cell. Use the formula for the volume of a cylinder.

About 22 266 037.92 cubic feet

Practice makes perfect

We are given 24 concrete cylindrical cells. Twenty of them are used for oil storage.

We are asked to find the total volume of the storage cells. Let's analyze one of them.

The height of the cell is h=210 feet and its diameter is 75 feet. This tells us that the radius of the cell is r= 752=37.5 feet. Now let's find its volume, V_\text{cell}, using the formula for the volume of a cylinder.

V_\text{cell}=\pi r^2h

▼

Substitute values and evaluate

SubstituteII

r= 37.5, h= 210

V_\text{cell}=\pi({\color{#0000FF}{37.5}})^2({\color{#009600}{210}})

CalcPowProd

Calculate power and product

V_\text{cell}=295\,312.5 \pi

UseCalc

Use a calculator

V_\text{cell}=927\,751.580513\ldots