Answer :
Answer:
The area of the label is 36*pi in²
Step-by-step explanation:
A can of soup has a shape of a cylinder, therefore it's volume is equal to:
Volume = pi*r²*h
We need to use the formula above to find the radius of the base, because we need to calculate the lateral area of the cylinder, which is given by:
Lateral area = 2*pi*r*h
Applying the data from the problem we have:
54*pi = pi*r²*6
pi*r²*6 = 54*pi
r² = 54*pi/(pi*6)
r² = 54/6 = 9
r = sqrt(9) = 3 in
Therefore the lateral area is:
lateral area = 2*pi*(3)*(6) = 36*pi in²
Answer:
18π in ²
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cylinder.
Given data
volume v = 54 π in³
Height h = 6 in
In this problem we are considering the surface area of the cylinder
(not the total though ) but the curved surface area
Let us solve for the radius of the shape
Volume = πr²h
54π= π*r²*6
54/6= r²
r²= 9
r= √ 9
r= 3in
Area of curved surface = 2πrh
Area = 2πrh
Area =2π*3*6
Area = 18π in ²