with solution need it thankyou

3. [5 points] A trough 21m long has ends shaped like isosceles triangles, with base 5m and height 14m. Water is being poured into the trough at a rate of 15m /min . At what rate does the height of the water change when the water is 2m deep? Refer to the figure below. 5m 14m 21 m 4. [4, 5 points] A hole of radius 3 is bored through the center of a sphere of radius 5. Let the cross-section of the sphere through the center be the circle x + y = 25 and the cross-section of the hole be defined by lines x =- 3 and x = 3. Set up the definite integral that will solve for the volume of the remaining portion of the sphere using a. Vertical strips b. Horizontal strips