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The radius of a right circular cone is increasing at a rate of 10 inches per...
(1 point) The radius of a right circular cone is increasing at a rate of 5 inches per second and its height is decreasing at a rate of 5 inches per second. At what rate is the volume of the cone changing when the radius is 10 inches and the height is 50 inches? cubic inches per second
A manufacturer wants to build a container in the shape of a (right circular) cone with volume 125 in3. How can they do this with the minimum possible surface area (base and sides)? Give the dimensions (radius and height) and the minimum area. Your solution should also use the second derivative to show that your critical point is in fact a minimum.
A manufacturer wants to build a container in the shape of a (right circular) cone with volume 125...
The radius r of a circle is increasing at a rate of 7 centimeters per minute. Find the rate of change of the area when r = 30 centimeters.The radius r of a sphere is increasing at a rate of 4 inches per minute. (a) Find the rate of change of the volume when r = 12 inches.(b) Find the rate of change of the volume when r = 30 inches.
For a right circular cone, the ratio of the slant height to the length of the radius is 5 : 3. If the volume of the cone is 7681 in?, find the lateral area (in square inches) of the cone. in 2
The radius r of a sphere is increasing at a rate of 3 inches per minute. (a) Find the rate of change of the volume when r = 9 inches. (b) Find the rate of change of the volume when r = 36 inches.
The radius of a sphere is increasing at a rate of 7.5 meters per minute. What is the rate of change of the surface area of the sphere when the radius is 5 m (in square meters per minute)? Note that the surface area, S, of a sphere of radius ris S = 4xr? 330x m/min 100x mº/min 225x m/min 300x m/min 75x m/min
The radius r of a sphere is increasing at the uniform rate of 0.3 inches per second. At the instant when the surface area S becomes 100pi square inches, what is the rate of increase, in cubic inches per second, in the volume V?
to one decimal place please.
The radius of the circular base of a cylinder is increasing at a rate of 4 inches per second. Find the rate of change of the volume when the radius is 3 inches and the height is three times the radius. Round your answer to one decimal place. The rate of change of the volume is Number Units
6. A right circular cone of height h 8 and radiusr 4 is constructed, and in the process Errors Ar and Δh are made in the radius and height. Write the formulas for the differential in volume (dVi and differential in surface area (d5). Construct the following table. år 0.1 0.2 0.1 dv av ds AS 0.1 0.0002 0.0001 00002
6. A right circular cone of height h 8 and radiusr 4 is constructed, and in the process Errors Ar...
(1) A box has a height of 6 inches, a width of 4 inches, and a length of 10 inches (and therefore a volume of 240 cubic inches). The height is decreasing at a rate of 0.5 inches per minute, the width is increasing at a rate of 2 inches per minute, and the length is increasing at a rate of 1 inch per minute. At what rate is the volume changing? Car A travels East towards the intersection of...