Respuesta :
Assuming the soup label covers the entire surface of the can, we solve for surface area. S.A. = 2pi*r^2 + pi*d*h = 8pi + 24pi = 32pi
32pi
32pi
The amount of material required for creating a soup label is 100.53 inches.
This is obtained by calculating the total surface area of the soap label which is cylindrical.
The total surface area of a cylinder:
The total surface area of the cylinder= surface area of CSA +surface area of LSA
I.e.,
TSA=2πrh+2πr²
=2πr(h + r)
Calculation:
Given that,
The soap has a height of h=6 in and a diameter of d=4 in
So, the radius r=d/2
⇒ r=4/2=2
On substituting all these in the TSA formula,
TSA=2π×2(6+2)
=4π×8
=100.53 inches
Therefore, the material required for creating a soap label is 100.53 inches
Refer to more total surface area problems here:
https://brainly.com/question/1020784
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