Exercise 17 Page 603

Consider the given cone.

To find the volume, we can use the formula for the volume of a cone.

V = \frac{1}{3} π r^{2} h

Here,

r

is the radius and

h

is the height of the cone. We are told that the height of the cone is

9

meters. The radius of the base is

6.5

meters. Let's substitute these values into the formula and calculate the volume.

V = \frac{1}{3} π r^{2} h

$r = 6.5$ , $h = 9$

V = \frac{1}{3} π (6.5)^{2} (9)

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Simplify right-hand side

Calculate power

V = \frac{1}{3} π (42.25) (9)

V = \frac{1}{3} π (380.25)

Commutative Property of Multiplication

V = \frac{1}{3} (380.25 π)

$\frac{1}{b} \cdot a = \frac{a}{b}$

V = \frac{3 8 0 . 2 5 π}{3}

Calculate quotient

V = 126.75 π

Use a calculator

V = 398.196869 \dots

Round to $1$ decimal place(s)

V \approx 398.2

The volume of the cone is

398.2

cubic meters.