Create a bucket by rotating around the y axis the curve y 3 In(z 3) from y = 0 to y= 6. If this bucket contains a liquid with density 900 kg/m³ to a height of 2 meters, find the work required to pump liquid out of this bucket (over the top edge). Use 9.8 m/s² for gravity. Work = Joules
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- Steel ball with radius of 0.03 m lays on a bottom of the lake 5 m deep. What work is needed to lift the ball to the surface of the lake? Density of steel is 7860kg/m3. The volume of a sphere is Use g = 9.8 m/s2 Calculate answer to two decimals.A conical water tank has its top at ground level (consider this to be the x-axis) and its base 12 ft below ground. The radius of the cone at ground level is 4 ft. It is filled with water weighing 62.4 lb/cu.ft. and is to be emptied by pumping the water to a spigot 3 ft above ground level. Find the total amount of work performed in emptying the tank? A 3456 ft-lbs B 23961.6 ft-lbs c) 8985.6 ft-lbs с D 1296 ft-lbsCalculate the work (in Joules) required to pump all the water out of an inverted conical tank that has a radius of the base of 2 m, and a height of 4 m and is HALF FULL. The density of water is 3 1000 / kg m. Assume the tip of the conical tank is on the ground. HINT: Place the origin at the tip of the cone. Leave the answer in terms of ρ, g, and possibly π.
- A tank has the shape of an inverted circular cone with height 7 m and base radius 3 m. It filled w water. Set up the integral form, don't evaluate it, for the work required to empty the tank by pumping all of the water to the top of a tank. (The density of water is 1000 kg/m³ and the acceleration due to gravity is 9.8 m/s²). 9800 7 S 9800 9800 49 9 - 49 * (7 — x)² dx 9 (7-2)²dx 49 (7 — x)² dx 7 9 [²3/10 S 49 -(7 — x)³ dx 7 9 √2/2 49 -(7 — x)² dxEx, 13 : A soap bubble has diameter 2 cm. Calculate the work done to increase its diameter to 6 cm. surface tension of is 35 soap dynes/cm.A conical container of radius 5 ft and height 20 ft isfiled to a height of 17 ft with a liquid weighing 51.8 lb/A2 . How much work will take to pump the liquid to a level of 3 ft above the cone's rim?
- A conical container of radius 8 ft and height 32 ft is filled to a height of 29 ft with a liquid weighing 64.4 lb/ft³. How much work will it take to pump the liquid to a level of 3 ft above the cone's rim? The amount of work required to pump the liquid to a level 3 ft above the rim of the tank is ft. lb. (Simplify your answer. Do not round until the final answer. Then round to the nearest tenth as needed.)For a given cylindrical tank, the radius is 2 m and the height is 12 m. The tank is filled to a depth of 5 m. How much work is required to pump all of the water over the top edge of the tank? Acceleration due to gravity is 9.8 m/sec² and the density of water is 1000 kg/m³. Round your answer to the nearest kilojoule. Sorry, that's incorrect. Try again? W = kJA tank, shaped like a cone has height 4 meter and base radius 1 meter. It is placed so that the circular part is upward. It is full of water, and we have to pump it all out by a pipe that is always leveled at the surface of the water. Assume that a cubic meter of water weighs 10000N, i.e. the density of water is 10000N/m3. How much work does it require to pump all water out of the tank? Enter the exact value of your answer.
- Two streams merge to form a river. One stream has a width of 8.7 m, depth of 3.7 m, and current speed of 2.1 m/s. The other stream is 6.4 m wide and 3.1 m deep, and flows at 2.6 m/s. If the river has width 11.7 m and speed 2.8 m/s, what is its depth?7. A fuel oil tank is an upright cylinder, with radius 3 meters and height 13 meters. a. Assuming the tank is full, calculate the work required to pump the oil out a spout 1 meter above the top of the tank. Round to the nearest whole number, and include units with your answer. Note: W - Vpgd Density of the oil = 800 kg/m³. Acceleration due to gravity = 9.82 b. Is it true that it takes half as much work to pump the oil out of the tank if it's only half full? Explain why or why not.The power output of the heart is given by the product of the average blood pressure, 1.33 N/cm², and the flow rate, 105 cm³/s. Find the power of the heart. Give your answer in watts.