5 1.) A storage container has the shape obtained by revolving the curve y = 1x4...
(1 point) A tank in the shape of an inverted right circular cone has height 5 meters and radius 2 meters. It is filled with 4 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. The density of hot chocolate is 8 = 1010 kg/m3. Your answer must include the correct units. Work =
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Name: Math 185 Exam 1 Spring 19 10. A tank has the shape of an inverted right circular cone with a base radius of 3 m and a height of 10 m. If the tank is Date: filled to a height of 6 m, find the work required to empty the tank by pumping the water over the top of the tank. (The mass of water is 1000 kg/m3 and the force of gravity...
A crude oil storage tank in the shape of a right cylinder of radius 4 ft and length 10 ft is buried in the ground in the horizontal position. If the top of the tank is 5 ft below the surface, find the work required to empty a full tank of oil weighing 50 lb/ft' by pumping it though a pipe that extends to a height of 2 ft above the ground. You only need to set-up the integral. (Assume...
The shape of a container is obtained by rotating the curve y = x^2 over the interval 0 ≤ x ≤ 2 about the y-axis. If the tank is full of water, the work required for pumping all water to the top of the tank can be expressed as an integral W = f(b,a) f(y)dy. Use trapezoidal rule on four subintervals of equal length to estimate the work. (Assume that water density is ρ kg/m3, and gravity acceleration g m/s2.)...
2) A tank is created by revolving the region enclosed by y=Vx,x=0, and y= 2 about the y-axis. The tank is filled with a liquid of weight-density 70 lb/ft? . 3 3 o Setup the integral that would give the work done in pumping the liquid to a height 1 ft. above the top of the tank. (Setup Only) o Give the units the answer would have.
(10 pts) Consider a tank as depicted below whose boundary curved is described x?y? by -= 1 and, although not depicted in the picture, has a spout atop that 2 3 extends 1 meter above the top of the tank. Cross sectional slices of this tank, parallel to the ground, are circular. If this tank is full of oil whose density is 700 kg/m3, then how much work is done in pumping this fluid out of the tank through the...
5 points WORK LIFT PROBLEM An inverted conical tank at a chemical plant has a base radius of 4 m and height of 3 m and is completely filled with liquid nitrogen, which has a density of 808.4 kg/m3. The Earth's gravitational constant is -9.8 m/s2. How much work is needed to pump all of the liquid nitrogen up through an outflow pipe that empties 3 meters above the top of the tank? (Note that the conical tank is opening...
The portion ofthe graph y = tan−1 x between x = 0 and x = 1 is rotated around the y axis to form a container. The container is filled with water. Use n = 6 subintervals andSimpson's rule to approximate the work required to pump all of the water out over the side of the container. Give your answer in decimal form.(Distance is measured in meters, the density of water is 1000 kg/m3, and use 9.8 m/s2 for g.)I...
1. At standard temperature and pressure, carbon dioxide has a density of 1.98 kg/m^3. What volume (m3 ) does 1.75 kg of carbon dioxide occupy at standard temperature and pressure? 2.What mass of water (in kg) can be contained in a box whose dimensions are 225 mm by 225 mm by 401 mm? (Density of water = 1000 kg/m^3) 3.How much force (N) does the atmosphere exert on one side of a vertical wall 1.22 m high and 2.44 m...
4. Find the centroid of the area bounded by the curve x2 (y-4), the x-axis and the y-axis on the first quadrant. A. , 8/5 B. 2, 64/3 C. , 5/4 D. 1/8,5 5. What is the area within the curve r2 16 cos 0? C. 30 A. 26 B. 28 D. 32 6. A uniform chain the weighs 0.50 kg per meter has a leaky 15-liter bucket attached to it. If the bucket is full of liquid when 30...