Question

In the cylinder below, the radius, r, is 6 m, and the volume is 2527 m^3. What is the altitude of the cylinder?

Options:
A. 13 m
B. 14 m
C. 3.5 m
D. 7 m

Answer 1

The altitude of the cylinder is calculated by rearranging the formula for the volume of a cylinder (V = πr²h) and substituting the given values. However, the calculated altitude does not match the provided options, suggesting a potential error in the question details.

Step-by-step explanation:

The volume of a cylinder is calculated using the formula V = πr²h, where V represents the volume, r is the radius, and h is the altitude or height of the cylinder. Given that the radius r is 6 m and the volume V is 2527 m³, we can solve for the height by rearranging the formula to h = V / (πr²). Substituting the given values in, we get h = 2527 m³ / (π(6 m)²). Doing the calculations:

h = 2527 m³ / (3.1415927*36 m²)

h ≈ 2527 m³ / 113.097336 m²

h ≈ 22.35 m

However, as none of the options (13 m, 14 m, 3.5 m, 7 m) match this result exactly, there appears to be a discrepancy in the question. We should recheck the provided volume, radius, or the potential options for the altitude of the cylinder.