A sphere has a radius of 10 mm. The volume of the sphere is increasing at a rate of 555 cubic mm per hour. What is the rate of change, in mm per hour, of the radius when the radius is 5 mm? Round your answer to the nearest hundredth. (Do not include any units in your answer.) Remember that the volume of a sphere is V=4/3 πr3 .
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
A sphere has a radius of 10 mm. The volume of the sphere is increasing at a rate of 555 cubic mm per hour. What is the rate of change, in mm per hour, of the radius when the radius is 5 mm?
Round your answer to the nearest hundredth. (Do not include any units in your answer.)
Remember that the volume of a sphere is V=4/3 πr3 .
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