The radius r of a sphere is increasing at the uniform rate of 0.3 inches per second
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 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.
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 of a right circular cone is increasing at a rate of 10 inches per minute, and the height is decreasing at a rate of 4 inches per minute. What are the rates of change of the volume and the radius is 15 inches and the height is 45 inches? rate of change of the volume 13194.69 in3/min rate of change of the surface area 2402.85| in2/min
9. (12) The volume of an expanding sphere is increasing at a rate of 167 ft/s when r = lft. How fast is the surface area increasing at that instant? (Recall: V = A=4r).
(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
(1 point) If the radius of a sphere is increasing at a constant rate of 3 cm/sec, then the volume is increasing at a rate of cm3 /sec when the radius is 1 cm dᏙ dr dᏙ Hint: dt and the volume of a sphere is V = dr dt
Assume a planet is a uniform sphere of radius R that (somehow) has a narrow radial tunnel through its center. Also assume we can position an apple anywhere along the tunnel or outside the sphere. Let FR be the magnitude of the gravitational force on the apple when it is located at the planet's surface. How far from the surface (what multiple of R) is there a point where the magnitude of the gravitational force on the apple is 0.3...
The diameter of a sphere is measured to be 4.11in. (a) Find the radius of the sphere in centimeters. cm (b) Find the surface area of the sphere in square centimeters. cm2 (c) Find the volume of the sphere in cubic centimeters. cm3
A pool shaped like the bottom half of a sphere is being filled at a rate of 28 cubic feet per minute. The radius of the pool is 15 feet. Find the rate at which the depth of water is changing when the water has a depth of 2 feet. (Hint: The volume for the cap of a sphere is V =,haR_h) where R is the radius of the sphere and h is the depth of the cap.) ft/min help...