Question

Four cylindrical concrete pillars support the roof of a building.each pillar is four meter long and 50cm in diameter

a) calculate the total volume of the four pillers in meters
b) if I meter of concrete has a mass of 2.1 tons, calculate the total mass of the four pillers in tons

Answer 1

[AI-generated answer — Bot GPT 3.5]

a) The volume of one pillar can be calculated using the formula for the volume of a cylinder: V = πr^2h, where r is the radius of the cylinder (which is half of the diameter) and h is the height of the cylinder.

Radius (r) = 50cm / 2 = 25cm = 0.25m
Height (h) = 4m

Volume of one pillar = π(0.25)^2 * 4 = π * 0.0625 * 4 = π * 0.25 = 0.785m^3

Total volume of the four pillars = 4 * 0.785 = 3.14m^3

b) If 1m^3 of concrete has a mass of 2.1 tons, then the total mass of the four pillars can be calculated by multiplying the total volume by the mass per cubic meter:

Total mass = 3.14 * 2.1 = 6.594 tons

Therefore, the total mass of the four pillars is 6.594 tons.