Question 1. A vertical plate is submerged in water and has the indicated shape. Express the hydrostatic force against a side of the plate as an integral and evaluate it. You may assume water density is p and acceleration due to gravity is g. Question 2. A vertical plate is submerged in water and has the indicated shape. Express the hydrostatic force against a side of the plate as an integral and evaluate it. You may assume water density is p and acceleration due to gravity is g. 10 m 8 mQuestion 2. A vertical plate is submerged in water and has the indicated shape. Express the hydrostatic force against a side of the plate as an integral and evaluate it. You may assume water density is p and acceleration due to gravity is g. 10 m 8 mQuestion 3. A tank has the shape of a cylinder with height 10m and radius 4m. It is lled to the top with water. Find the work required to empty the tank by pumping all of the water out of the top of the tank. You may assume water density is p and acceleration due to gravity is g. Question 4. A tank has the shape of an inverted circular cone with height 9m and radius 3m. The top 4 meters of the tank are initially empty. The water must be pumped out of a spout 2m above the tank' Find the work required to empty the tank. You may assume water density is p and acceleration due to gravity is g. '- m 0 ' 9m v