Question

The drawing below shows a geometric castle.the smaller drawing below show you the castle from above now my challenge to you is to use the formulas for volume to find total volume of this castle

Answer 1

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