An overhead water tank is made by placing a hemisphere over a cylinder. The cylinder has a height of 3m, and the radius of both shapes is 2m. What is the total volume of the tank in cubic meters? (Use π = 3.14)
Show answer & explanation
Correct answer: C
Explanation
Total volume = Volume of the cylinder + Volume of the hemisphere
Volume of the cylinder = πr²h = π × 2² × 3 = 12π
Volume of the hemisphere = 2/3 × πr³ = 2/3 × π × 2³ = 16π/3
Total volume = 12π + 16π/3
= 36π/3 + 16π/3
= 52π/3
≈ 54.43 cubic meters