Question

A Cylindrical water tank with height 12 m and diamater 4 m is full of water. Show that the amant of work required to pump the water to the level of the tank and out is 2,822, 4000 joules. Recall that the density or mass of water is approximately 1,000 kg and use the gravity constant 9.8h / 12m 2m. B) Show that the arch longth along the curve Y=2x from x=0 to x=5 is 335 3/2 4 los

Answer 1

In ginen problem- 12m Diameter (O) = 4m heigh (4)= x dxILLIDI124 12m Padrins (8)=2m 2m Toteil volume in dx length- du= a82 dx =(42dx) dm = (Density)x du dm = 1000X 47 dx force on 'dm'mass = (40000 dx) 9.8 (123.150.43.2x) 392004 da 07 12 work done = (392004) asdas Work done = (392001)x122 2 w= 2829900 Joule Hence work done to pump out all weiter is 2822900 T Joule

B) Arc curul is is) Item 2 dx length of a Ginon function y= 223/2 dy da 3xY2 514 Length of curue dvi+qx dx sla 1 +9x)/2 (1+9313235? (1+2x9)%2] Are length a 23 312 23 4 = (13) Are length = 335 108