To find the time when the volleyball reaches its maximum height, we need to determine the vertex of the quadratic function \( h = -16t^2 + 33t + 6 \).
For a quadratic function in the form \( h = at^2 + bt + c \), the time at which the maximum height is reached can be found using the formula:
\[ t = -\frac{b}{2a} \]
Here, \( a = -16 \) and \( b = 33 \).
Calculating the time \( t \):
\[ t = -\frac{33}{2 \times -16} = -\frac{33}{-32} = \frac{33}{32} \approx 1.03125 \text{ seconds} \]
Rounding this, we can say approximately \( 1.03 \) seconds.
Thus, the domain of the ball when it reaches its maximum height is \( 1.03 \) seconds.
The correct response is:
1.03 seconds