Answer:
Volume of shaded portion = (600 - 36π) units³
Step-by-step explanation:
Volume of the shaded portion = Volume of pyramid - Volume of cone
Volume of pyramid = ⅓*l*w*h
Where,
l = length of base of pyramid = 15 units
w = width of base of pyramid = 10 units
h = height of pyramid = 12 units
Plug in the values to find the volume of the pyramid
Volume of pyramid = ⅓*15*10*12 = 5*10*12 = 600 units³
Volume of Cone = ⅓πr²h,
Where,
r = radius = ½ of diameter = ½ of 9 = 3 units
h = height = 12 units
Volume of Cone = ⅓*π*3²*12 = ⅓*π*9*12
= π*3*12 = 36π units³
Volume of shaded portion = (600 - 36π) units³
