Question

the volume of a regular can of soda pop is approximately 23.7.the height of the can is 4.38inches the diameter of the can is? show work pls

Answer 1

Answer: diameter = 2.82 inches

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

Answer 2

The diameter soda pop can is 2.62 inches.

Explanation:

The soda pop can is cylindrical in shape.

The volume of a cylinder is:

`V=\pi r^(2)h`

Given:

Volume (V) = 23.7 and height (h) = 4.38 inches.

The radius (r) of the soda pop can is:

`V=\pi r^(2)h\\23.7=\pi * r^(2)* 4.38\\r^(2)=(23.7)/(\pi * 4.38 ) \\r=√(1.7224) =1.3124`

The diameter of the soda pop can is:

`d=2* r\\=2*1.3124\\=2.6248\approx2.62`

Thus, the diameter soda pop can is 2.62 inches.