# calculus

A spherical balloon is losing air at the rate of 2 cubic inches per minute. How fast is the radius of the ballon shrinking when the radius is 8 inches.

1. 👍
2. 👎
3. 👁
4. ℹ️
5. 🚩
1. dV = surface area * dr
so
dr/dt = dV/dt/(4 pi r^2)
dr/dt = 2 /(4 pi *64)

1. 👍
2. 👎
3. ℹ️
4. 🚩

## Similar Questions

1. ### calculas

i didnot under stand the question ? need help Gas is escaping a spherical balloon at the rate of 4 cm3 per minute. How fast is the surface area of the balloon shrinking when the radius of the balloon is 24 cm? Given volume of

2. ### Calculus

A spherical balloon is inflated at a rate of 10 cubic feet per minute. How fast is the radius of the balloon changing at the instant the radius is 4 feet? And The radius of a circle is decreasing at a rate of 2 ft/minute. Find the

3. ### Calculus

a spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. how fast is the radius of the balloon increasing at the instant the radius is 30 centimeters?

4. ### math

A fish tank in the shape of a right rectangular prism is 12.5 inches long, 6 inches wide, and 8 inches high. What is the total amount of water needed, to the nearest cubic inch, to fill 90% of the fish tank with water? ANSWERS : A

1. ### UNM

In an air-conditioned room at 19.0C , a spherical balloon had the diameter of 50.0cm . When taken outside on a hot summer day, the balloon expanded to 51.0cm in diameter. What was the temperature outside? Assume that the balloon

2. ### math

The volume V of a sphere of radius r is given by the formula V (r) = (4/3)πr^3. A balloon in the shape of a sphere is being inflated with gas. Assume that the radius of the balloon is increasing at the constant rate of 2 inches

3. ### related rates calculus problem

A balloon is being filled with air at a rate of 3 cubic meters per minute. Find the rate at which the radius is changing when the volume is 113.0973355 cubic meters.

4. ### Calculus Related Rates

If a spherical balloon is inflated and its volume is increasing at a rate of 6 in^3/min. What is the rate of change of the radius when the radius is 3 inches??

1. ### Calculus

A spherical balloon is being inflated at a rate of 10 cubic centimeters per second. A. Find an expression for dr/dt, the rate at which the radius of the balloon is increasing. B. How fast is the radius of the balloon increasing

2. ### calculus

Helium is pumped into a spherical balloon at a rate of 4 cubic feet per second. How fast is the radius increasing after 2 minutes? Rate of change of radius (in feet per second) = ?? (i dont know what to with the time given to

3. ### math-calculus

A spherical party balloon is being inflated with helium pumped in at a rate of 12 cubic feet per minute. How fast is the radius growing at the instant when the radius has reached 1 ft?

4. ### Calculus

Air is being pumped into a spherical balloon so that its volume increases at a rate of 30 cubic centimeters per second. How fast is the surface area of the balloon increasing when its radius is 19 cm? V= 4/3*pi*r^3 S= 4 pi r^2