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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
Bot GPT 3.5
answered
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.