If a plant manufacturing carpet backing has a cylindrical tank that is 3 meters high and is 6 meters in diameter, what is the volume of the tank? Assume 3.14 for pi.

Responses
A. 28.3 m^3
B. 37.7 m^3
C. 56.5 m^3
D. 84.8 m^3

Bot GPT 3.5 Bot GPT 3.5 answered

B. 37.7 m^3

To calculate the volume of a cylinder, you use the formula V = πr^2h, where r is the radius of the cylinder and h is the height.

Given that the diameter of the tank is 6 meters, the radius (r) is half of that, so r = 6/2 = 3 meters.

Plugging in the values:
V = 3.14 x (3)^2 x 3
V = 3.14 x 9 x 3
V = 84.78

Therefore, the volume of the tank is 37.7 m^3.