An oblique rectangular prism, as shown below, is filled with water. The water from the prism is poured into a right cylindrical container with a base radius of 6 units. How high will the water go in the cylindrical container? Clearly show your work and explain your reasoning.

1. L= 9 un
2. W= 7.5 un
3. The height is not shown, but the distance from the line below to the line above it is 4 un, and the angle from below is 60°
4. The cylindrical container has a radius of 6 but no height.
please help, and thanks!​

Respuesta :

Answer:

The volume of the tank when it is filled with water =

V

1

=

(Base area)

×

Height

=

(

10

×

8

)

×

7

=

560

cu ft

The volume of the tank when it is filled with water and rocks

=

V

2

=

(Base area)

×

Height

=

(

10

×

8

)

×

8.5

=

680

cu ft

Volume of rocks

=

Volume of water displaced by the rocks

=

V

2

V

1

=

680

560

=

120

cu ft