7) ( 6 pts) A tank in the shape of a right circular inverted cone with height 21 meters and radius 9 meters ( see picture below) has water up to the 17 meter mark. Find how much work is required to pump all the water to the top of the 2 meter spout. (Use 1000kg/m3 for the density of water and 9.8 m/s2 for acceleration ) You may use your calculator to evaluate the integral. Specify your origin on the picture . 21m 17m 8) ( 6 pts) By integration find the exact length of the arc for the below curve for the specified interval. You must show all steps of your integration to receive full credit. 0.25 7 3 f ( x) = + X 3 [1, 12 ]