A tank of water 4 m in diameter and 7 m deep is to be drained by a 5-cm-diameter exit pipe at the bottom, as in Fig. P6.107. In design (1), the pipe extends out for 1 m and into the tank for 10 cm. In design (2), the interior pipe is removed and the entrance beveled, Fig. 6.21, so that K < 0.1 in the entrance. (a) An engineer claims that design (2) will drain 25 percent faster than design (1). Is this claim true