Respuesta :
Step-by-step explanation:
Louise calculated the height of a cylinder that has a volume of 486 pi cubic centimetres and a radius of 9 centimetres.
The formula for the volume of cylinder is :
V = B × h
B is area of base of cylinder
[tex]B=\pi r^2[/tex]
i.e.
[tex]V=\pi r^2 h[/tex]
Substituting given values,
[tex]486\pi =\pi (9)^2 \times h[/tex]
[tex]\pi[/tex] will cancel out from both sides.
[tex]486= (9)^2 \times h\\\\h=\dfrac{486}{81}\\\\h=6\ cm[/tex]
She forgets to cancel down [tex]\pi[/tex] from both sides. So, she get height as [tex]6\pi\ cm[/tex]. So, in the [tex]\pi[/tex] should have canceled, making the correct answer 6 cm.
