A tank has the shape of a cylinder with height 15 m and base radius 4 m. There is a water spout on top of the tank with height 1 m. Suppose the tank contains water of height 10 m. Find the integral for the work required to pump the water out of the spout. Do NOT compute the integral. Suppose the water density is p=1,000 kg/m, and you may use the approximation g = 10 m/s for gravity. (Requirements: You need to set up the integral by using limit of Riemann sum. You will receive miminum points if you only provide the final integral without adequate justification.)

Find the area and perimeter of each composite figure. use 3.14 for π. round your answer to the nearest tenth. a square and a right triangle share a common side. image long description a 3-meter by 0.5-meter rectangle has triangles attached like wings to the 3-meter sides. the other two sides of both triangles measure 2.5 meters. the height of each triangle is 2 meters. a 6-inch by 4-inch rectangle has 2 half-circles attached like wings to the 6-inch sides. the radius of each half-circle is 3 inches. find the surface area and volume of each figure. use 3.14 for π. round your answer to the nearest tenth. a right circular cylinder has a base radius of 6 yards and a height of 20 yards. a rectangular prism has a base that is 9 centimeters long and 7 centimeters wide. the height is 2 centimeters. a rectangular prism has a base that measures 11 millimeters by 11 millimeters. the height is 11 millimeters.

Find the missing dimension! need asap! tiny square is a =3025 in ²

What is the distance between a and b? round your answer to the nearest tenth. a coordinate plane is shown. point a is located at negative 1, 5, and point b is located at 4, 1. a line segment connects the two points.