Friday

October 31, 2014

October 31, 2014

Posted by **Karina** on Sunday, December 2, 2012 at 4:46pm.

(4 points) If the water level in the bowl is h cm deep, find the radius of the surface of the water as a function of h.

(6 points) The water level drops at a rate of 0.1 cm per hour. At what rate is the radius of the water decreasing when the depth is 5 cm?

- Calculus -
**Steve**, Sunday, December 2, 2012 at 6:41pmdraw a vertical cross-section of the bowl. Pick a point H on the vertical axis at height h from the bottom. If P is a point on the rim of the bowl, HP = 10. The radius at H is

(10-h)^2 + r^2 = 10^2

r = √(100-(10-h)^2)

**Answer this Question**

**Related Questions**

Calculus - An open hemispherical bowl of radius R is slowly draining through a ...

Geometry - a hemispherical bowl with radius 25cm contains water whose depth is ...

Geometry - I need help!!! a hemispherical bowl with radius 25cm contains water ...

Math - If a hemispherical bowl of radius 6cm contains water to a depth of h cm, ...

Math - A hemispherical bowl with a 30-cm radius has some water in it. The water ...

Physics - A hemispherical bowl of radius R is rotated about its axis of symmetry...

math - a hemispherical bowl of radius r cm is filled with water.a sphere of ...

geometry - a hemispherical bowl of radius r cm is filled with water.a sphere of ...

Physics - A small block of mass m = 194 g is released from rest at point A , ...

Calculus I - *Optimization problem* [I don't know how to get to the answer] ...