SOLUTION: A bucket full of water is in the form of a frustum of a cone .the button and top radii of the frustum are 18cm and 28cm representivly and the vertical depth is 30cm if the water in

Question 1175518: A bucket full of water is in the form of a frustum of a cone .the button and top radii of the frustum are 18cm and 28cm representivly and the vertical depth is 30cm if the water in the bucket is then poured into an empty cylindrical container with base radiou 20cm find the depth of water in the container

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A bucket full of water is in the form of a frustum of a cone .
the bottom and top radii of the frustum are 18cm and 28cm respectively and the vertical depth is 30cm if the water in the bucket is then poured into an empty cylindrical container with base radius 20cm
find the depth of water in the container
:
The volume of a frustrum: V = 1.0472h(R^2 + Rr + r^2)
Note: 1.0472 is pi/3
where
h = 30 cm
R = 28
r = 18
:
V = 1.0472*30(28^2 + 28*18 + 18^2)
V = 31.416(784 + 504 + 324)
V = 31.416(1612)
V = 50,642.6 cu/cm
:
In a cylinder, find the height

h =
h = 40.3 cm, height of water in the cylinder

RELATED QUESTIONS
A bucket full of water is in the form of a frustum of a cone. The bottom and top radii of (answered by mananth)

a bucket full of water is in the form of a frustum of a cone the bottom and top radii of... (answered by josgarithmetic)

A lampshade is in form of a frustum of a cone. The top and bottom diameters are 10cm... (answered by jim_thompson5910)

A bucket in the form of a frustum of a cone. The top and bottom radius are 7cm and 4cm... (answered by MathLover1)

find the volume of a frustum of a cone with bases of radii 5cm and 19cm. The height of... (answered by orca)

A hemispherical bowl of diameter 14cm mounted on a bucket in the form of a frustum of a... (answered by solver91311)

Show that the volume of the frustum of a cone with top and bottom radii R and r... (answered by solver91311,ikleyn)

The frustum of a cone of revolution is 25 cm high, and the radii of its bases are 8 cm... (answered by onyulee)

derive the formula of the frustum of a... (answered by JulietG)