can any body help me with this calculus problem ...!!!
Lava erupts from a volcano at a constant rate of 20 000 m^3/s. The volcano maintains the shape of a cone with height 50% greater than the radius of the base. however, not all of the lava stays on the slope of the volcano.some of the lava flows on the flat ground beyond the slopes to make a circular pattern. The height of the volcano is increasing at a rate of 0.01 m/s when the height is 700m.
a) At what rate is lava flowing beyond the slopes of the volcano when the height of the volcano is 700 m ?
b) If the thickness of the circular pattern of lava beyond the volcano is 20cm , how fast is the lava flow approching nearby villages when the height of the volcano is 700m and the radius of the circular lava pattern is 500 m ?