I dont understand - 2 basic physics problems - please help?

Question

1. A flat circular plate of copper has a radius of .383 m and a mass of 27.7 kg. What is the thickness of the plate? Answer in units of m.
(please show work so i can learn the steps. THANK YOU)

2.) Water flows into a swimming pool at the rate of 9.27 gal/min. If the pool dimensions are 33.4 ft wide, 43.1 ft long, and 15.1 ft deep, how long does it take to fill the pool? (1 gallon = 231 cubic inches). Answer in units of minutes.

Answer 1

1.
The density = mass/volume or
p=m/V
Volume V= pi R^2 h

h= (p/m)/(pi R^2)
h=p/(m pi R^2)

2.
time= volume/rate of flow
t=V/W
V=33.4 x 43.1 x 15.1 (in tr^3)
W=9.27 gal/min
volume of one gal is gal= 231/(12^3)= 0.134 ft^3
when you compute you will get time in minutes.

Answer 2

1.volume of a cylinder = pi x r^2 h
A circular plate is a cylinder of height h.
mass = vol x density = pi x r^2 h x density
h = m / density x pi x r^2
You need density of copper.

2. Volume rate = Volume / time = l x b x h / t = 9.27
1 cubic feet = 7.48 gal
volume = 33.4 x 43.1 x 15.1 ft^3 = 21737 x 7.48
= 1.63 x 10^5 gal
time = vol / vol rate = 1.63 x 10^5 gal / 9.27
= 1.76 x 10^4 min

Answer 3

Given:(1.84m)(2)/9.8 m/s^2r(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2radiu(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2of(1.84m)(2)/9.8 m/s^2the(1.84m)(2)/9.8 m/s^2circle(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^20(1.84m)(2)/9.8 m/s^23(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2dy(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2height(1.84m)(2)/9.8 m/s^2of(1.84m)(2)/9.8 m/s^2the(1.84m)(2)/9.8 m/s^2plane(1.84m)(2)/9.8 m/s^2of(1.84m)(2)/9.8 m/s^2the(1.84m)(2)/9.8 m/s^2circle(1.84m)(2)/9.8 m/s^2above(1.84m)(2)/9.8 m/s^2the(1.84m)(2)/9.8 m/s^2ground(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2dx(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2horizontal(1.84m)(2)/9.8 m/s^2di(1.84m)(2)/9.8 m/s^2tance(1.84m)(2)/9.8 m/s^2traveled(1.84m)(2)/9.8 m/s^2by(1.84m)(2)/9.8 m/s^2ball(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2g(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2con(1.84m)(2)/9.8 m/s^2tant(1.84m)(2)/9.8 m/s^2of(1.84m)(2)/9.8 m/s^2acceleration(1.84m)(2)/9.8 m/s^2due(1.84m)(2)/9.8 m/s^2to(1.84m)(2)/9.8 m/s^2gravity(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2Find:(1.84m)(2)/9.8 m/s^2Ac(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2centripetal(1.84m)(2)/9.8 m/s^2acceleration(1.84m)(2)/9.8 m/s^2of(1.84m)(2)/9.8 m/s^2the(1.84m)(2)/9.8 m/s^2ball(1.84m)(2)/9.8 m/s^2during(1.84m)(2)/9.8 m/s^2it(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2circular(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2otion(1.84m)(2)/9.8 m/s^2in(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2Solution:(1.84m)(2)/9.8 m/s^2Ac(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2v(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2r,(1.84m)(2)/9.8 m/s^2where(1.84m)(2)/9.8 m/s^2Ac(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2centripetal(1.84m)(2)/9.8 m/s^2acceleration(1.84m)(2)/9.8 m/s^2v(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2peed(1.84m)(2)/9.8 m/s^2of(1.84m)(2)/9.8 m/s^2the(1.84m)(2)/9.8 m/s^2ball(1.84m)(2)/9.8 m/s^2when(1.84m)(2)/9.8 m/s^2the(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2tring(1.84m)(2)/9.8 m/s^2broke(1.84m)(2)/9.8 m/s^2r(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2radiu(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2of(1.84m)(2)/9.8 m/s^2circle(1.84m)(2)/9.8 m/s^2When(1.84m)(2)/9.8 m/s^2the(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2tring(1.84m)(2)/9.8 m/s^2broke,(1.84m)(2)/9.8 m/s^2the(1.84m)(2)/9.8 m/s^2ball(1.84m)(2)/9.8 m/s^2travel(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2horizontally(1.84m)(2)/9.8 m/s^2a(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2it(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2ove(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2down(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2The(1.84m)(2)/9.8 m/s^2ball(1.84m)(2)/9.8 m/s^2i(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2now(1.84m)(2)/9.8 m/s^2a(1.84m)(2)/9.8 m/s^2projectile(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2ince(1.84m)(2)/9.8 m/s^2it(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2otion(1.84m)(2)/9.8 m/s^2i(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2affected(1.84m)(2)/9.8 m/s^2only(1.84m)(2)/9.8 m/s^2by(1.84m)(2)/9.8 m/s^2the(1.84m)(2)/9.8 m/s^2force(1.84m)(2)/9.8 m/s^2of(1.84m)(2)/9.8 m/s^2gravity(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2Here,(1.84m)(2)/9.8 m/s^2we(1.84m)(2)/9.8 m/s^2neglect(1.84m)(2)/9.8 m/s^2the(1.84m)(2)/9.8 m/s^2air(1.84m)(2)/9.8 m/s^2friction(1.84m)(2)/9.8 m/s^2on(1.84m)(2)/9.8 m/s^2the(1.84m)(2)/9.8 m/s^2ball(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2Therefore,(1.84m)(2)/9.8 m/s^2let'(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2it'(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2peed,(1.84m)(2)/9.8 m/s^2v,(1.84m)(2)/9.8 m/s^2at(1.84m)(2)/9.8 m/s^2the(1.84m)(2)/9.8 m/s^2in(1.84m)(2)/9.8 m/s^2tant(1.84m)(2)/9.8 m/s^2the(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2tring(1.84m)(2)/9.8 m/s^2broke(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2dx(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2v(1.84m)(2)/9.8 m/s^2t(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2v(1.84m)(2)/9.8 m/s^2t(1.84m)(2)/9.8 m/s^2for(1.84m)(2)/9.8 m/s^2t,(1.84m)(2)/9.8 m/s^2we(1.84m)(2)/9.8 m/s^2can(1.84m)(2)/9.8 m/s^2u(1.84m)(2)/9.8 m/s^2e(1.84m)(2)/9.8 m/s^2dy(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2Vyt(1.84m)(2)/9.8 m/s^2+(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2g(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2t(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2Vy(1.84m)(2)/9.8 m/s^2i(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2the(1.84m)(2)/9.8 m/s^2initial(1.84m)(2)/9.8 m/s^2vertical(1.84m)(2)/9.8 m/s^2velocity(1.84m)(2)/9.8 m/s^2of(1.84m)(2)/9.8 m/s^2the(1.84m)(2)/9.8 m/s^2ball(1.84m)(2)/9.8 m/s^2which(1.84m)(2)/9.8 m/s^2in(1.84m)(2)/9.8 m/s^2thi(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2ca(1.84m)(2)/9.8 m/s^2e(1.84m)(2)/9.8 m/s^2i(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2zero(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2It(1.84m)(2)/9.8 m/s^2ha(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2only(1.84m)(2)/9.8 m/s^2horizontal(1.84m)(2)/9.8 m/s^2velocity,(1.84m)(2)/9.8 m/s^2which(1.84m)(2)/9.8 m/s^2i(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2v(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2Therefore,(1.84m)(2)/9.8 m/s^2dy(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2g(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2t(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2t(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2t(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2qrt[(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2](1.84m)(2)/9.8 m/s^2t(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^20(1.84m)(2)/9.8 m/s^26(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2ec(1.84m)(2)/9.8 m/s^2hence,(1.84m)(2)/9.8 m/s^2dx(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2vt(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2v(1.84m)(2)/9.8 m/s^20(1.84m)(2)/9.8 m/s^26(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2v(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^20(1.84m)(2)/9.8 m/s^26(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2v(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^26(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2,(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2peed(1.84m)(2)/9.8 m/s^2of(1.84m)(2)/9.8 m/s^2the(1.84m)(2)/9.8 m/s^2ball(1.84m)(2)/9.8 m/s^2Then,(1.84m)(2)/9.8 m/s^2Ac(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2v(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2r(1.84m)(2)/9.8 m/s^2Ac(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^26(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^20(1.84m)(2)/9.8 m/s^23(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2Ac(1.84m)(2)/9.8 m/s^2=(1.84m)(2)/9.8 m/s^26(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^263(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2ANS(1.84m)(2)/9.8 m/s^2(1.84m)(2)/9.8 m/s^2teddy(1.84m)(2)/9.8 m/s^2boy