The volume of the largest candle that can be shipped out is 176.6 in³ if the boxes measure 6 in. by 6 in. by 10 in option (D) is correct.
In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We have:
The boxes measure 6 in. by 6 in. by 10 in.
As we know, the volume of the cylinder is given by:
[tex]\rm V =\pi \times h\times r^2[/tex]
The diameter = 6 -(1/2) - (1/2) = 5 in
The radius r = 5/2 = 2.5 in
The height h = 10-(1/2) - (1/2) = 9 in
The volume of the largest candle that can be shipped out is:
[tex]\rm V =\pi \times 9\times (2.5)^2[/tex]
V = 176.6 in³
Thus, the volume of the largest candle that can be shipped out is 176.6 in³ if the boxes measure 6 in. by 6 in. by 10 in option (D) is correct.
Learn more about the cylinder here:
brainly.com/question/3216899
#SPJ2
