Answer:
V_rocket = 44[tex]\pi[/tex] ft^3 = 138.2 ft^3
Step-by-step explanation:
Volume of cone
V_cone = (1/3)*([tex]\pi[/tex]*(radius^2))*h
radius = 2ft
h = height of the cone = 3 ft
pi = 3.1416
V_cone = 4[tex]\pi[/tex] ft^3
Volume cylinder
V_cylin = ([tex]\pi[/tex]*(radius^2))*h_cyl
h_cyl = height of the cylinder = 10 ft
V_cylin = 40[tex]\pi[/tex] ft^3
Volume rocket
V_rocket = V_cone + V_cylin = 4[tex]\pi[/tex] ft^3 + 40[tex]\pi[/tex] ft^3
V_rocket = 44[tex]\pi[/tex] ft^3 = 138.2 ft^3
