Find the volume of the cylinder in terms of pi. The diagram is not drawn to scale

a cyilinder with a width of 3.2km and a hight of 8km

(1 point)
Responses

43.35π m343.35π m3

58.08π m358.08π m3

81.92π m381.92π m3

39.71π m3

1 answer

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.

Given that the width of the cylinder is 3.2 km, the radius (r) would be half of that, so r = 3.2/2 = 1.6 km.

Given that the height of the cylinder is 8 km, we can calculate the volume:

V = π(1.6)^2 * 8
V = 3.2π * 8
V = 25.6π km^3

Therefore, the volume of the cylinder in terms of π is 25.6π km^3.

None of the given responses match this exact calculation, but the closest one is 39.71π m^3. This might be due to rounding errors or discrepancies in the calculations.