# Calculus

posted by .

a pond that lies in a crater is being drained att he rate of 1000m3/min.If the crater has the shape of an inverted cone of radius 200(at he original water level) and original depth is 50 m (at the center) find that rate at which the water level begins to fall.How fast is it falling when the water at he center is only 20 m deep?

• redundant -

did that

• Calculus -

Can you please gimme the whole procedure ?

## Similar Questions

1. ### Calculus

A water tank has a shape of an inverted circular cone with base radius 3 m and height of 5 m. If the water is being pumped into the tank at a rate of 2 m^3 /min, find the rate at which the water level is rising when the water is 3 …
2. ### Calculus

a pond that lies in a crater is being drained at the rate of 1000m3/min.If the crater has the shape of an inverted cone of radius 200(at he original water level) and original depth is 50 m (at the center) find that rate at which the …
3. ### Calculus

A container is in the shape of an inverted right circular cone has a radius of 2 in at the top and a height of 6 in. At the instant when the water in the conatiner is 5 in deep, the surface level is falling at the rate of -.4 in/s. …
4. ### Calculus

A large container has the shape of a frustum of a cone with top radius 5 m, bottom radius 3m, and height 12m. The container is being filled with water at the constant rate 4.9 m^3/min. At what rate is the level of water rising at the …
5. ### calculus

A large container has the shape of a frustum of a cone with top radius 5 m, bottom radius 3m, and height 12m. The container is being filled with water at the constant rate 4.9 m^3/min. At what rate is the level of water rising at the …
6. ### Calculus

A large container has the shape of a frustum of a cone with top radius 5m, bottom radius 3m, height 12m. The container is being filled with water at the constant rate of 3.9 m^3/min. At what rate is the level of water rising at the …
7. ### calculus inverted cone

A container in the shape of an inverted cone has radius 6 ft and height 12 ft. It is being drained at 2〖ft〗^3/min. Find the rate of change of the height of the liquid in the cone when the height is 3 feet. The ratio of …
8. ### Calculus - Rates of Change

A water tank has a shape of an inverted cone with a base radius of 2m and a height of 4 m. If water is being pumped into the tank at a rate of 2m3/min, then find the rate at which the water level is rising when the water is 3m deep. …
9. ### bctc

A tank of water in the shape of an inverted cone is being filled with water at rate of 12m^3/min. the base radius of tank is 26 meters and the height of the tank is 8 meters. at what rate is the depth of the water in the tank changing …
10. ### Calculus

Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 6cm and a height of 12cm, at the rate of 3 cm3/min. At what rate is the depth of the water changing at the instant when the water in the tank …

More Similar Questions