Question

to empty if c 0.6? See Problem 13 in Exercises 1.3. 13. Leaking Conical Tank A tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. 16. H 75 (a) Suppose the tank is 6 m high and has radius 3 m and an the circular hole has radius 5 cm. In Problem 14 in Exercises 1.3 you were asked to derive the differential equation governing the height h of water leaking from a tank. In this model, friction and contraction of the water at the hole were taken into account with c 0.6. and g was taken to be 9.8 m/s2. See Figure 1.3.12. If the tank is initially full, how long will it take the tank to empty? in: up Pr (b) Suppose the tank has a vertex angle of 60° and the cir- cular hole has radius 5 cm. Determine the differential equation governing the height h of water. Use c0.6 and g 9.8 m/s2. If the height of the water is initially 3 m, how long will it take the tank to empty?

Answer 1

alh ,l holi

e nong nk lg y= J.a gh | Conse.vaticn Second and Contmacti c on dt alv dt3dt a-t

H- 3-38 \s1 o.oSI之

Съ B' above Tqvien = 5RoS 8.67 minuty