Question

Create a bucket by rotating around the *y-axis* the curve
y=3ln(x-6) from *y* = 0 to *y* = 4. If this bucket
contains a liquid with density 880 kg/m^{3} filled to a
height of 2 meters, find the work required to pump the liquid out
of this bucket (over the top edge). Use 9.8 m/s^{2} for
gravity.

Answer #1

Create a bucket by rotating around the y axis the curve y = 3 ln
( x − 6 ) from y = 0 to y = 4. If this bucket contains a liquid
with density 880 kg/m3 filled to a height of 2 meters, find the
work required to pump the liquid out of this bucket (over the top
edge). Use 9.8 m/s2 for gravity.

A tank is filled with liquid of density 1000 [kg/m3 ]. Its shape
is obtained by rotating the curve y =√x, 0 ≤ x ≤ 4, around the
y-axis. Find the work that is required to pump all the liquid out
of the tank, from the top of the tank. All the lengths are in units
of meter [m]. Do not forget to use gravitational constant g =
9.8[m/s2 ].

please answer
A water tank has the shape obtained by rotating the curve y = x
2 , 0 ≤ x ≤ 2 about the y−axis (x and y are measured in meters). It
is full of water. Find the work required to pump all of the water
out of the tank. (The density of water is ρ=1000kg/m.)

A solid is formed by rotating the region bounded by the curve
?=?−6?/2y=e−6x/2 and the ?x-axis between x=0 and x=1, around the
x-axis. The volume of this solid is ?/6⋅(1−?^(−6)). Assuming the
solid has constant density ?, find ?¯ and y¯.
x¯=
y¯=

Fidn the area of the surface of the rotating curve y=(10-x)^1/2
from 0<y<5 about the x-axis. olease write neat .

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 4 hours ago