A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work done in pumping the content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.) A 9800 S (y3-9y² + 20y) dy 0 B S 9800л (y3-7y²+12y) dy 0 9800€ (y3-11y²+28y) dy = S² ( ₁.³ 0 98007 (-y5+15y4-72y³ + 112y²) dy D

Q: During a hockey match a forward shoots at goal and the ball is caught by the goalkeeper. When the…

A: The objective of this question is to calculate the kinetic energy of the ball before it hits the…

Q: The density of Venus is similar to that of Earth. The mass of Venus is 4. and its diameter is 12,100…

A: For the given  Mass = 4.9 X 1024 kg  Diameter = 12100 km  The density of venus is

Q: Homogenized milk has a density of 1.032 kg/L and heavy cream has a density of 1.005 kg/L at 10…

A: density of Homogenized milk is  1.032 kg/L density of  heavy cream is 1.005 kg/L

Q: Todd runs around the perimeter of a circular track at 8 ft/sec. The track has a radius of 80 yd.…

A:

Q: Vanillin (used to flavor vanilla ice cream and other foods) is the substance whose aroma the human…

A: volume = 4.81*10^7 ft^3 since 1 feet = 0.3048 m so, volume = 4.81*10^7 ft^3 volume = 4.81*10^7…

Q: the volume of a sphere is V = (4/3)pi*r^3 a. find the differential of V b. use the differential of V…

A: This is question of calculus Here shape is given we have to find volume of that.Further calculation…

Q: We model pumping from spherical containers the way we do from other containers, with the axis of…

A: Calculate the area of cross-section of container.

Q: You've been asked to calculate the mass of a conical pile of sawdust measuring 9 meters high with a…

A:

Q: 2. Find an expression for the amount of work required to lift a thin 10 ft by 10 ft slab whose…

A:

Q: Fluid runs through a drainage pipe with a 10-cm radius and a length of 10 m (1000 cm). The velocity…

A: Solution: From the given information,

Q: A trough is 5 meters long and 1 meter high. The vertical cross-section of the trough parallel to an…

A: To find the work required to empty the trough, you can use the principles of calculus and fluid…

Q: Problem 2. Do both part a. and part b. Find the maximum or minimum value of the quadratic function…

A: see below the answer and explanation

Q: A water reservoir has the shape of a right circular cone with its circular base of radius R = 160 m…

A: General formula for volume of cone, V= (Pi* R^2 * H)/3