Question

A glass has circular cross sections that taper (linearly) from a radius of 7 cm at the top of the glass to a radius of 6 cm at the bottom. The glass is 12 cm high and full of orange juice. How much work is required to drink all the juice through a straw if your mouth is 6 cm above the top of the glass? Use 1000 kg/m3 for the density of orange juice and 9.8 m/s2 for the acceleration due to gravity

I need the cross sectional area of a horizontal slice, set up of the integral and the final answer

Answer #1

A solid region has a circular base of radius 3 whose
cross-sections perpendicular to the x-axis are equilateral
triangles.
Set up, but do not evaluate, an integral equal to the volume of
this solid region.Hint: the area of an equilateral triangle with
side length s is (s^2/4)(√3.)

ch 6
1:
It is generally a good idea to gain an understanding of the
"size" of units. Consider the objects and calculate the kinetic
energy of each one.
A ladybug weighing 37.3 mg
flies by your head at 3.83 km/h
.
×10
J
A 7.15 kg
bowling ball slides (not rolls) down an alley at 17.5 km/h
.
J
A car weighing 1260 kg
moves at a speed of 49.5 km/h.
5:
The graph shows the ?-directed force
??...

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