When finding the volume in cubic inches of a cone with a radius of 13 inches and a height of 27 inches. Rounding the answer to the nearest hundredth and using 3.14 for pi, why is the CORRECT answer 4,775.94 and NOT 4,778.14?
The formula for the volume of a cone is given by V = (1/3)πr^2h. Plugging in the values r = 13 inches and h = 27 inches, we get:
V = (1/3)(3.14)(13^2)(27)
V ≈ (1/3)(3.14)(169)(27)
V ≈ (0.333)(3.14)(169)(27)
V ≈ (177)(27)
V ≈ 4,779
However, we are asked to round the answer to the nearest hundredth. The thousandth decimal place is 0.5, so we check the hundredth decimal place. Since it is 9, we round up the thousandth decimal place to 1 and get:
V ≈ 4,780
Therefore, rounding the answer to the nearest hundredth, the CORRECT answer is 4,780 and not 4,776.14. It seems that there may have been a typo or an error in your provided correct answer.