Practice: The figure shows a vertical section through the axis of a solid paper-
weight made in the shape of a right circular cone. Its height is 8 cm and
the diameter of its base is 4 cm. The shaded portion is made of lead 2 cm
thick while the unshaded portion is made of wood. Lead weighs 11.3
g/cm² and wood weighs 0.9 g/cm². Calculate
a. The total volume of paper-weight;
b. The volume of the wooden portion;
c. The total weight of paper-weight.
(The volume of a cone of radius r and height h is z rerh)
I

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice

let's fu(!

step-by-step explanation: