Volume of the cone:
V1=(πr²h)/3
V1=(π)(20)²(25)/3
V1=10,471.97
Volume of the larger cylinder:
V2=πr²h
V2=π(20)²(150)
V2=188,495.55
Volume of the smaller rectangular prism:
V3=lwh
V3=(65)(45)(120)
V3=351,000
Volume of the larger rectangular prism:
V4=lwh
V4=(55)(45)(150)
V4=371,250
Volume of the rectangular pyramid:
V5=(lwh)/3
V5=(55)(45)(35)/3
V5=28,875
Volume of the smaller cylinder:
V6=πr²h
V6=π(20)²(95)
V6=119,380.52
Volume of the hemisphere:
V7=2πr³/3
V7=2π(20)³/3
V7=16,755.16
Total volume of the castle:
Vt=V1+V2+V3+V4+V5+V6+V7
Vt=1,086,228.2