Find the volume, in cubic inches, of a cone with a radius of 13 inches and a height of 27 inches. Round your answer to the nearest hundredth. Use 3.14 for pi.
Response:
___ cubic inches.
To find the volume of a cone, we use the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Plugging in the given values, we have V = (1/3)(3.14)(13^2)(27) = (1/3)(3.14)(169)(27) = (1/3)(3.14)(4563) ≈ 4794.91 cubic inches.
Therefore, the volume of the cone is approximately 4794.91 cubic inches.