Exercise 15 Page 603

Consider the given cone. Its height is $15.9$ milimeters and the radius of the base is $13.4$ milimeters.

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 given that the height of the cone is

15.9

milimeters. The radius of the base is

13.4

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

V = \frac{1}{3} π r^{2} h

$r = 13.4$ , $h = 15.9$

V = \frac{1}{3} π (13.4)^{2} (15.9)

▼

Simplify right-hand side

Calculate power

V = \frac{1}{3} π (179.56) (15.9)

V = \frac{1}{3} π (2855.004)

Commutative Property of Multiplication

V = \frac{1}{3} (2855.004 π)

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

V = \frac{2 8 5 5 . 0 0 4 π}{3}

Use a calculator

V = 2989.753197 \dots

Round to $1$ decimal place(s)

V \approx 2989.8

The volume of the cone is

2989.8

cubic milimeters.