2.1. A gasoline tank is in the shape of a cylinder (pictured below) whose axis is oriented horizontally. The length of the cylindrical tank is 30 feet and the radius of its circular cross section is 4 feet. If the tank is filled with gasoline with weight density p = 46.5 lbs/ft, set up an integral which will calculate the total amount of work required to pump all of the gasoline out of the top of the tank. Use your calculator to find a decimal approximation for the integral.

(1) 29.46 Km/n 63. The length of a rectangular field is twice its breadth. If the rent of the field at 73,500 per hectare i 200 find the cost of surroundings it with fence 5 per metre. (3) 76,500 (1) 76,000 (2) 7,000 (4) 78,000 nd ansuer the following questions.

Q.1: The length of rectangular piece of paper exceeds its breadth by 5cm. If a strip of 0.5cm wide be cut all round the piece of paper, the area of the remaining part would be 500 square cms. Find its original dimensions.

2. A cylindrical tank contains oil (use density as p in lb/ ft'). The radius of the tank is 3 feet, the length is 12 feet and oil enters and leaves the tank through an opening at the top. The tank is initially full of oil. Use the sketch below and complete each step below to find the work done in pumping all of the oil out of the opening at the top of the tank. You must use the axis provided. No calculators. (a) Find and expression for the volume of a single representative "slab" of oil that will move out of the tank. (b) Find the expression for the distance any single representative "slab" of oil must move to get out of the tank. (c) Find the expression for the force of a single representative "slab" of oil. (d) Set up (BUT DO NOT SOLVE), the Reimann sum that approximates the total work done in pumping all of the oil out of the tank.