A pyramid has a height of 505 ft and its base covers an area of 14.0 acres (see
ID: 1585026 • Letter: A
Question
A pyramid has a height of 505 ft and its base covers an area of 14.0 acres (see figure below). The volume of a pyramid is given by the expression v-s where B is the area of the base and h is the height. Find the volume of this pyramid in cubic meters. (1 acre 43,560 ) m3 Need Help? My Motes Ask Your Assume it takes 6.00 min to fill a 35.0-gal gasoline tank. ( 1 U.S. gal = 231 in. (a) Calculate the rate at which the tank is filled in gallons per second. gal/s (b) Calculate the rate at which the tank is filled in cubic meters per second. m3/s (c) Determine the time interval, in hours, required to fill a 1.00-m3 volume at the same rate. (1 U.S. gal = 231 in Need Help? One cubic meter (1.00 m3) of aluminum has a mass of 2.70 103 kg, and the same volume of iron has a mass of 7.86 × 103 kg. Find the radius of a solid aluminum sphere that will balance a solid iron sphere of radius 4.66 cm on an equal-arm balance. cm Need Help? w One gallon of paint (volume = 3.78-10.3 m3) covers an area of 36.0 m2 What is the thickness of the fresh paint on the wall? Need Help?Explanation / Answer
area of base=14 acres=14*43560=609840 ft²
Height of pyramid=505 ft
Volume of pyramid=(1/3)*609840*505=102656400 ft³=2906905.5 m³
a)volume of gasoline=35 gal
Time taken to fill=6 min=360 seconds
Rate of flow=35/360=0.0972 gal/s
b)rate of flow in m³/s=0.000368 m³/s
c)time required to fill 1 m³ =1/0.000368=2717.4 seconds=0.755 hour