126,349 rounded to the hundred place
2 answers:
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Work done is the product of the force and the distance moved in the force's direction
The amount of work it would take to pump all the lava through the top of the volcano is π × 10¹²
The reason the above value is correct is given as follows:
The radius of the cone, r = 2,000 m
The height of the cone, h = 1,000 m
Considering a slice of volume of the cone, we have;
Volume of slice, = π·
·Δx
Where;
= Radius of slice
Δx = Height of slice
Considering similar triangles ΔABC and ΔADE, we have;
= π·
·Δx
∴ = π·(2·
)²·Δx = 4·π·
²·Δx
Work done = F × d
Where;
d = Distance =
Work done = 4·π·²·Δx ×
The work done, W = π × 10¹²
Learn more about work done by pumping fluid out of a vessel here:
