Answer:
The volume of a cylinder can be calculated using the formula V = πr²h, where V is the volume, r is the radius, and h is the height. We are given that the volume of the cylinder is 980 in³ and the radius is 7 in. We can plug these values into the formula and solve for h.
V = πr²h
980 = π(7)²h
980 = 49πh
To isolate h, we divide both sides of the equation by 49π:
h = 980 / (49π)
h ≈ 6.318
Rounding to the nearest whole number, we get h ≈ 6 in. None of the provided answer choices match this result. It's possible that there is an error in the problem statement or the answer choices.
Explanation: