You are eating soup from a hemispherical bowl of radius 6cm at a constant rate of 40ml/min. Find the rate at which the soup level is going down in depth of the soup is 2cm.

Answer 1

The surface area of the soup times its speed down = 40 ml/min
By the way on ml is 1 cubic centimeter so no conversion is required
Just find surface area from pi r^2
where r is the radius of the surface when 2 cm depth is reached.

Answer 2

3.1831