Answer:
The volume of the cone is increasing at a rate of 1926 cubic inches per second.
Step-by-step explanation:
Volume of a right circular cone:
The volume of a right circular cone, with radius r and height h, is given by the following formula:
Implicit derivation:
To solve this question, we have to apply implicit derivation, derivating the variables V, r and h with regard to t. So
Radius is 107 in. and the height is 151 in.
This means that
The radius of a right circular cone is increasing at a rate of 1.1 in/s while its height is decreasing at a rate of 2.6 in/s.
This means that
At what rate is the volume of the cone changing when the radius is 107 in. and the height is 151 in.
This is . So
Positive, so increasing.
The volume of the cone is increasing at a rate of 1926 cubic inches per second.