Please answer 5,6,7

A container has the shape of an open right circular cone, as shown in the figure below. The height of the container is 10 cm and the diameter of the opening is 10 cm. Water in the container is evaporating so that its depth h is changing at the constant rate of - - cm/hr. a. Find the volume V of water in the container when h = 5 cm. Indicate units of measure. b. Find the rate of change of the volume of water in the container, with respect to time, when h = 5 cm. Indicate units of measure. C Show that the rate of change of the volume of water in the container due to evaporation is directly proportional to the exposed surface area of the water. What is the constant of proportionality? 10 cm 10 cm 6) In the triangle shown below, if 0 increases at a constant rate of 3 radians per minute, at what rate is x increasing in units per minute when x = 3 units? 7) A circle is inscribed in a square as shown in the figure above. The circumference of the circle is increasing at a constant rate of 6 inches per second. As the circle expands, the square expands to maintain the condition of tangency. a. Find the rate at which the perimeter of the square is increasing. Indicate units of measure. b. At the instant when the area of the circle is 257 square inches, find the rate of increase in the area enclosed between the circle and the square. Indicate units of measure