2. You are part of the engineering project team MBoat, which builds a motorboat for racing every year. The prototype is ready for a test-drive, so you head to the lake to see how it performs. (a) The boat's gas tank is in the shape of a cone with a height of 4 feet and radius of 1 foot, with the point at the bottom. i. Using similar triangles, give an equation relating r, the radius of the gas, and h, the height of the gas. Hint: The \"side view\" of the partially lled tank looks like the diagmm below. ii. Using your previous equation, nd i", the radius of the gas, and %,the rate at which that radius is changing, at the time when the depth of the gas is 1 foot and the depth is increasing at a rate of 3 feet per second. iii. At the same instant as in part ii, what is the rate at which the volume of gas in the cone is changing? Note that the volume of a cone of radius R and height H is V = wRZH