Respuesta :
Answer:
The diameter soda pop can is 2.62 inches.
Step-by-step explanation:
The soda pop can is cylindrical in shape.
The volume of a cylinder is:
[tex]V=\pi r^{2}h[/tex]
Given:
Volume (V) = 23.7 and height (h) = 4.38 inches.
The radius (r) of the soda pop can is:
[tex]V=\pi r^{2}h\\23.7=\pi \times r^{2}\times 4.38\\r^{2}=\frac{23.7}{\pi \times 4.38 } \\r=\sqrt{1.7224} =1.3124[/tex]
The diameter of the soda pop can is:
[tex]d=2\times r\\=2\times1.3124\\=2.6248\approx2.62[/tex]
Thus, the diameter soda pop can is 2.62 inches.
Answer: diameter = 2.82 inches
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
Volume = 27.3
Height = 4.38
Therefore,
27.3 = 3.14 × r² × 4.38
27.3 = 13.7532r²
Dividing the left hand side and the right hand side of the equation by 13.7532, it becomes
r² = 27.3/13.7532 = 1.98
Taking square root of the left hand side and the right hand side of the equation, it becomes
r = √1.98
r = 1.41
Diameter = radius × 2
Diameter = 2 × 1.41 = 2.82 inches
