Question

Select the correct answer.

Jay stores hay in cubic stacks on his farm. If the length of each stack is 2/3 yard, what is the volume of hay in each stack?
A 1/3 cubic yard
B. 4/9' cubic yard
C. 41/9cubic yard
D. '8/27' cubic yard
Reset
Next

Answer 1

Option D is correct.

`Volume=(8)/(27)\ cubic\ yard`

Explanation:

Let V be the volume of hay in each stack

Given:

Length of the each stack is
`(2)/(3)\ yard`

And Jay stores hay in cubic stacks on his farm.

The volume of the cone is.

`Volume\ of\ cone = (side)^(3)`

Now, we substitute value of length of stack in above equation.

`V=((2)/(3))^(3)`

`V=(2^(3))/(3^(3))`

`V=(8)/(27)\ cubic\ yard`

Therefore, the volume of hay in each stack is
`V=(8)/(27)\ cubic\ yard`