An aquarium 8 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half of the water out of the aquarium. (Use 9.8 m/s2 for g and the fact that the density of water is
1000 kg/m3.)
Show how to approximate the required work by a Riemann sum
A leaky 10-kg buckket is lifted from the ground to a height of 13 m at a constant speed with a rope that weighs 0.5 kg/m Initialy the bucket kg of water, but the water leaks ata finishes draining just as the bucket reaches the 13-m level. Find the work done, (use 9 8 ms2 for ) show how to approximate the required work by a Riemann sum. (Let x be the height n meters above the ground. Enter x" as -'n ) Σ(I (9.8 )-(55-2-3-5)|x )4x 52-3 Evaluate the integral. (Round your answer to the nearest integer.) 134
