Answer:
854.08 unit²
Step-by-step explanation:
Find the surface area of the hemisphere on top:
surface area = 2πr²
surface area = 2π(8 ÷ 2)² = 32π unit²
Find the surface area of the curved surface of the cylinder:
surface area = 2πrh
surface area = 2π(8 ÷ 2)(8) = 64π unit²
Find the surface area of the hemisphere on the bottom:
curved surface = 2πr²
curved surface = 2π(16 ÷ 2)² = 128π unit²
top surface = πr₁² - πr₂²
top surface = π(16 ÷ 2)² - π(8 ÷ 2)² = 48π unit²
surface area = 128π + 48π = 176π unit²
Find total surface area:
Total surface area = 32π + 64π + 176π = 272π = 854.08 unit²
