Answer:
Surface area of the rocket = 76π
Step-by-step explanation:
Given:
Diameter = 8 in
Radius of cylinder = 4 in
Radius of cone = 4 in
Height of the cylinder = 5 in
Height of the cone = 3 in
Find:
Surface area of the rocket.
Computation:
Slant hight = [tex]\sqrt{4^2 + 3^2}[/tex]
Slant hight = 5 in
Surface area of the rocket = Surface area of cylinder + Surface area of cone + Area of circle
Surface area of the rocket = 2πrh + πrl + πr²
Surface area of the rocket = 2π(4)(5) + (π)(4)(5) + (π)(4)²
Surface area of the rocket = 40π + 20π + 16π
Surface area of the rocket = 76π