Question

A water tank has the shape of an inverted cone of height 6 m with a circular base of radius 2 m. If water is being pumped into the tank at 3 m?/min, how fast is the water level rising when the water is 4 m deep. Round your answer to two decimal places. The water level is rising at a rate of Number Units The area of a square is increasing at a rate of 28 centimeters squared per second. Find the rate of change of the side of the square when it is 2 centimeters. The rate of change of the side is Number Units

Answer 1

79 Smaller Llet, va volume Given, dv 3 m3/min dt h ४ due to similarity of sla Nlo triangle 3) h = 3r Volume of cone, va I treh -Im Fim 3 = I 82 (30) Ĉ D Tr 2 4 m deep Water is dv Tx 38 x ar dt 7P 2 wh u with se 2 ) 3- T X3 X(21 x dr +(24 E =) dy 3x9 him/ dt 12 X4 li m/min ñ 0.18 игш/ш 9 IGI a 82 Area, a ? A = a a dA 2 ada 7.P dt Girn, da dt 28 cm²/s 4 a= 2 cm 28 cm?/s da dt E] acmis . 2x 2 cm