Exercise 9 Page 844

The sky dome can be modeled by the following cone. The height of the cone is h= 100 feet, and the area of the base is B= 15 400 square feet.

We are asked to find the volume of air that the heating and cooling systems would have to accommodate for the dome and round the answer to the nearest tenth. To do this we will find the volume of the presented cone. Let's use the formula for the volume of a cone.

V=1/3 B h

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Substitute values and evaluate

SubstituteII

h= 100, B= 15 400

V=1/3( 15 400)( 100)

Multiply

Multiply

V=1/3* 1 540 000

MoveRightFacToNumOne

1/b* a = a/b

V=1 540 000/3

CalcQuot

Calculate quotient & Use a calculator

V=513 333.333...

RoundDec

Round to 1 decimal place(s)

V≈ 513 333.3

Therefore, the volume of the cone is about 513 333.3 cubic feet. This tells us that the heating and cooling systems have to accomodate about 513 333.3 cubic feet of air.