Question

While making a jar, a potter removes part of a clay sphere and stores the clay from the removed part in a box with dimensions x feet, y feet, and z feet. She uses the expression below to calculate the number of jars she can make in the same manner before the box is full. According to this expression, what is the volume of each part of the clay sphere the potter removes?

Answer 1

The correct answer to the following question will be "
`(5\pi )/(192) \ cubic feet`".

Explanation:

Give that the volume of the box = xyz cubic feet

Amount of jars which you can make =
`(192xyz)/(\pi )`

Let the volume of the removed clay = V cubic feet

As we know,

`Total \ number \ of \ jars=(Volume \ of \ the \ box)/(Volume \ of \ removed \ clay)`

As we place the values in the equation above, we obtain

⇒
`(192xyz)/(5\pi)=(xyz)/(V)`

When multiplication is applied we receive

⇒
`V(192xyz)=5\pi * xyz`

⇒
`192V=5\pi`

⇒
`V=(5\pi )/(192)` cubic feet