Answer:
35.35 seconds
Explanation:
The volume of the cylindrical glass can be calculated as:
V = πr²h
where r is the radius (half of the diameter), h is the height, and π is the mathematical constant π (approximately 3.14).
Since the diameter is 3 inches, the radius is 1.5 inches. The height is 10 inches. Therefore, the volume of the glass is:
V = π(1.5)²(10) ≈ 70.69 cubic inches
To fill the glass 50%, we need half of the volume:
V/2 ≈ 35.35 cubic inches
The faucet dispenses water at a rate of 1 cubic inch per second, so the time it takes to fill the glass 50% is:
t = (V/2) / (1 cubic inch per second) ≈ 35.35 seconds
Therefore, it takes approximately 35.35 seconds to fill the glass 50%. Rounded to two decimal places, the answer is 35.35 seconds.