Final answer:
To find the volume of a cone with a radius of 4in and a height of 1ft, we first convert the height to inches and then apply the formula V = (1/3)πr²h. The volume calculates to approximately 201.06 cubic inches.
Step-by-step explanation:
The question asks for the volume of a cone with a given radius and height. To calculate this, we use the formula for the volume of a cone: V = (1/3)πr²h, where r is the radius and h is the height. However, since the height is given in feet, we must first convert it to inches because the radius is given in inches. There are 12 inches in a foot, so 1 foot is equal to 12 inches. Substituting the values into the formula: V = (1/3)π(4 in)²(12 in).
Now, calculate the volume: V = (1/3)π× 16 in² × 12 in = (1/3)π× 192 in³. Multiplying and dividing, we find the volume V = 201.06 cubic inches. This value does not match any of the options, so it seems there is a typo in the choices provided.