10 cm 8. A container has the shape of an open right circular cone. 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 the water in the container when h = 5cm. Indicate units of measure (b) Find the rate of change of the volume of water in the container, with respect to time, when h = 5cm. Indicate units of measure. 10 cm (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 8. A container has the shape of an open right circular cone. 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 the water in the container when h = 5cm. Indicate units of measure (b) Find the rate of change of the volume of water in the container, with respect to time, when h = 5cm. Indicate units of measure. 10 cm (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?
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Transcribed Image Text:10 cm
8. A container has the shape of an open right circular cone. 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 the water in the container when h = 5cm. Indicate units of measure
(b) Find the rate of change of the volume of water in the container, with respect to time, when
h = 5cm. 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
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