Answer:
Below
Explanation:
The canister has a cylindric form
The volume of a cylinder is given by the following formula :
V= r^2 * Pi *h
H is the heigth and r os the radius(half of the diameter)
Let Pi = 3.14
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V= 3.14*4.5^2 * 12
V= 763.02
V = 763 cm^3(after rounding to the nearest unit)
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The surface area of a cylinder is given by the followong formula:
Sa = 3.14*r^2*2 + Pi*d*h
r is the radius, d the diameter and h the heigth
Let Pi= 3.14
Sa= 3.14*4.5^2*2 + 3.14*9*12
Sa= 466.29 cm^2
Sa= 466 cm^2 ( after rounding to the nearest unit
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The dimensions of the second canister are the double of the first one
V= r^2*Pi*h
V= 9^2 *3.14*24
V= 6104.16 cm^3
V= 6104 cm^3 (after rounding to the neatest unit)
Sa= 2*3.14*r^2+ 3.14*d*h
Sa= 2*3.14*9^2 + 3.14*24*18
Sa= 1865.16 cm^2
Sa= 1865 cm^2 (after roundong to the nearest unit)
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The volume and the surface area of the second canister are bigger than the first one
Divide the second volume by the first one :
V2/V1= 6104/763 = 8
We deduce that the voulme of the second canister is greater 8 times than the first one
Do the same for the surface area
Sa2/Sa1 = 1865/466 = 4.002 = 4 (after rounding to the nearest unit)
The second surface area is greater 4 times than the first one