What is the rate at which a spherical balloon is inflated?

A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute. How fast is the radius of the balloon increasing at the instant the radius is (a) 30 centimeters and (b) 60 centimeters? Please log in or register to add a comment.

What is the speed of balloon changes with radius cm?

(a) To find how fast is the radius of the balloon increasing at the instant the radius cm. Substitute cm and cm 3 /min. in above expression. (b) To find how fast is the radius of the balloon increasing at the instant the radius cm. Substitute cm and cm 3 /min in above expression. (a) The speed of balloon changes with radius cm is cm/min.

What is the volume of a sphere of radius R R?

Recall that the volume of a sphere of radius r r is V = 4 3πr3. V = 4 3 π r 3. Note that in the setting of this problem, both V V and r r are changing as t t (time) changes, and thus both V V and r r may be viewed as implicit functions of t, t, with respective derivatives dV dt d V d t and dr dt. d r d t.

How fast does a bicycle pass under a balloon?

A balloon is rising vertically above a level, straight road at a constant rate of 1 foot/second. Just when the balloon is 65 feet above the ground, a bicycle passes under it going 17 feet/sec. How fast is the distance between the

A spherical balloon is being inflated so that radius is increasing at a rate of 10 mm/sec. A spherical balloon is being inflated in such a way that its radius increases at a rate of 3 cm/min. If the volume of the balloon is 0 at time 0, at what rate is the volume increasing after 5 minutes? my answer is 45 cm/min. is

How does volume affect the radius of a balloon?

Intuitively, this makes sense since the balloon’s volume is growing at a constant rate: as the balloon grows, a small change in the radius will have a larger impact on the change in volume; equivalently, the same change in volume corresponds to a smaller change in the radius when the balloon is large.