Question

What is the volume of the shaded portion of the
composite figure? Express your answer in terms of ..
15
12
5197 units
O 6812 units
O (6003 - 81) units
(600 – 817) units
10

Answer 1

Answer:

d. (600 - 81π) units ³

Step-by-step explanation:

Volume of the shaded portion = volume of triangular pyramid - volume of cone

= ⅓*A*h - ⅓πr²h

Where,

A = 15*10 = 150 units²

r = ½(9) = 4.5 units

h = 12

Plug in the values

Volume of the shaded portion = ⅓*150*12 - ⅓*π*4.5²*12

= (600 - 81π) units³