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Volume: \( \frac{4}{3} \times 3.14 \times 5^3 = \frac{4}{3} \times 3.14 \times 125 = \frac{1570}{3} \approx 523.33 \) cubic meters.
Water volume at 80%: \( 0.8 \times 523.33 \approx 418.664 \) cubic meters.
#### 418.664 cubic meters
A parabola has its vertex at the origin and passes through the point (4, 16). What is the equation of the parabola?
The general form is \( y = ax^2 \).
Substitute the point (4, 16): \( 16 = a \times 4^2 \).
Solve for \( a \): \( 16 = 16a \) so \( a = 1 \).
The equation is \( y = x^2 \).
#### \( y = x^2 \)
A triangle has sides of lengths 7, 24, and 25. Determine if it is a right triangle and find the area.