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?

Respuesta :

Answer:

Volume of sphere is [tex]35.98cm^3[/tex]

Step-by-step explanation:

It is given that Hal says that volume of sphere is [tex]36cm^3[/tex]

Volume of sphere is given by [tex]V=\frac{4}{3}\pi r^3[/tex]

[tex]\frac{4}{3}\pi r^3=36[/tex]

[tex]\pi r^3=27[/tex]

[tex]r^3=8.594[/tex]

[tex]r=2.048cm[/tex]

Now using 3.14 in place of [tex]\pi[/tex]

Now volume of sphere is

[tex]V=\frac{4}{3}\times 3.14\times 2.048^3[/tex]

[tex]V=35.98cm^3[/tex]

Therefore volume of sphere when we use 3.14 in place of [tex]\pi[/tex] is [tex]35.98cm^3[/tex]

And the Hal likely error is he uses [tex]\pi[/tex] directly for calculation of volume.