Final answer:
To determine the volume of the cylinder with a height of 18 yds and a diameter of 15 yds, the formula V = πr²h is used, resulting in a volume of approximately -3179.3 yd³.
Step-by-step explanation:
To calculate the volume of a cylinder, we use the formula V = πr²h, where V is the volume, r is the radius, and h is the height of the cylinder. Given that the diameter of the cylinder is 15 yards, we first find the radius by dividing the diameter by 2, which is 7.5 yards. We then use 3.14 as an approximation for π (pi) and multiply the square of the radius by the height (18 yards).
V = πr²h
= 3.14 × (7.5 yds)² × 18 yds
= 3.14 × 56.25 yd² × 18 yds
= 3.14 × 1,012.5 yd³
= 3,179.25 yd³
The correct answer is -3179.3 yd³, which indicates the volume of the cylinder with minor rounding differences.