Question

Hal says the volume of the sphere shown below 36 cm3. Find the correct volume, using 3.14 for pi. Round to the nearest hundredth. What was Hal's likely error?

Answer 1

Volume of sphere is
`35.98cm^3`

Explanation:

It is given that Hal says that volume of sphere is
`36cm^3`

Volume of sphere is given by
`V=(4)/(3)\pi r^3`

`(4)/(3)\pi r^3=36`

`\pi r^3=27`

`r^3=8.594`

`r=2.048cm`

Now using 3.14 in place of
`\pi`

Now volume of sphere is

`V=(4)/(3)* 3.14* 2.048^3`

`V=35.98cm^3`

Therefore volume of sphere when we use 3.14 in place of
`\pi` is
`35.98cm^3`

And the Hal likely error is he uses
`\pi` directly for calculation of volume.