1
answer
0
watching
268
views
11 Nov 2019
A container has the shape of an open right circular cone, as shownin the figure above. The height of the container is 10cm and thediameter of the opening is 10 cm. Water in the container isevaporating so that its depth h is changing at the constant rate of-3/10 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 thecontainer due to evaporation is directly proportional to theexposed surface area of the water. What is the constantofproportionality?
A container has the shape of an open right circular cone, as shownin the figure above. The height of the container is 10cm and thediameter of the opening is 10 cm. Water in the container isevaporating so that its depth h is changing at the constant rate of-3/10 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 thecontainer due to evaporation is directly proportional to theexposed surface area of the water. What is the constantofproportionality?
Tod ThielLv2
26 Jun 2019
