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1) A right circular cylinder has a diameter of 3.7 in and a height of 7 ft. (a)

ID: 2272477 • Letter: 1

Question

1) A right circular cylinder has a diameter of 3.7 in and a height of 7 ft.


(a) What is the volume of the cylinder in cubic feet? ................ ft3

(b) What is the volume in cubic meters? .................. m3

(c) What is the volume in liters? .................. L



2) During a thunderstorm, a total of 2.2 inches of rain falls. How much water falls on one acre of land? (1 mi2 = 640 acres) Express your answer in the following ways.


(a) cubic inches ................. in3

(b) cubic feet .................... ft3

(c) cubic meters ............... m3

(d) kilograms ................... kg



3) Find the following.


....................... km/h

A right circular cylinder has a diameter of 3.7 in and a height of 7 ft. What is the volume of the cylinder in cubic feet? What is the volume in cubic meters? What is the volume in liters? During a thunderstorm, a total of 2.2 inches of rain falls. How much water falls on one acre of land? (1 mi2 = 640 acres) Express your answer in the following ways. Find the following.

Explanation / Answer




1) r = d/2 = 1.85 in
1 in = 0.083 ft
a) V = pi*r^2*L = 3.14*(1.85*0.083)^2*7 = 0.518235703 ft^3

b) V = 0.518235703*(0.3048)^3 = 0.014674801 m^3

c) V = 0.014674801*1000 = 14.6748009 L

2) 1 mi = 1609 m........1m = 39.37 in...1 in = 0.0254 m..1 in = 0.083 ft

1 acre = 1/640 mi^2 = 1609^2/640 = 4045.12 m^2 = 6269933.63 in^2 = 43193.57ft^2



a)V = 6269933.63*2.2 = 13793853.986 in^3

b) V = 43193.57*2.2*0.083 = 7887.145882 ft^3

c) V = 4045.12*2.2*0.0254 = 226.0413056 m^3

d) m = 226.0413056*1000 = 226041.3056 kg

3)
a) 1.58*10^5/(60*60) = 43.88 Km/hs

b) 1.58*10^5*1000/(60*60)^2 = 12.19 m/s^2