Question

11. A city engineer determines that 5,500 cubic meters of
sand will be needed to combat erosion at the city's beach.
Does the city have enough sand to combat the erosion?
Use 22 for 7. Explain.
7

Answer 1

The city do not have up to 5,500 cubic meters of sand that will be needed to combat erosion.

Volume

Volume is the amount of space occupied by a three dimensional object or figure. The volume (V) of a cone is given by:

V = (1/3)πr²h

Where h is the height, and r is the radius

Given that h = 35 m, the radius using Pythagoras theorem:

37² = r² + 35²

r = 12

V = (1/3)π(12)² * 35 = 5280 m³

The city do not have up to 5,500 cubic meters of sand that will be needed to combat erosion.

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