Find the volume of the cylinder in terms of pi. The diagram is not drawn to scale
a cyilinder with 3.2km and 8km
(1 point)
Responses
43.35π m343.35π m3
58.08π m358.08π m3
81.92π m381.92π m3
39.71π m3
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
Given that the diameter of the cylinder is 3.2 km, the radius is half of that: r = 3.2 km / 2 = 1.6 km = 1600 m.
The height of the cylinder is 8 km = 8000 m.
Plugging these values into the formula:
V = π(1600)^2(8000)
V = π(2560000)(8000)
V = 20480000000π
V ≈ 64.73 × 10^9π m³
Therefore, the volume of the cylinder in terms of π is close to 64.73 × 10^9π m³. However, this exact value is not provided in the options provided.