Answer:
2,186.28 yd²
Step-by-step explanation:
The figure consists of a rectangular prism of size 20 x 12 x 15 and a cylinder inside the prism which has a radius of 5 and length(height) of 18.
The volume of the prism
V = Length x Width X Height
= 20 x 12 x 15
= 3600 yd²
The volume of the cylinder is given by the formula
V = πr²h
where
r = radius, h = height
For the given cylinder
V = π · 5² · 18
= 1413.7166941155 yd²
Rounding to two decimal places we get volume of cylinder = 1413.72 yd²
Volume of shaded portion = Volume of prism - volume of cylinder
= 3600 - 1413.72
= 2,186.28 yd² (Answer)
