Answer:
Option C.
Step-by-step explanation:
we have that
The correct question is
Louis calculated the height of a cylinder that has a volume of 486pie cubic centimeters and a radius of 9 centimeters her work is shows below
V=BH
STEP 1: 486pie=pie9^2h
STEP 2: 486pie=81pieh
STEP 3: 486pie/81pie=81pie/81pie h
STEP 4: h=6pie cm
what error did Louise make when calculating the height of the cylinder
A. in step 1 she substituted into the volume formula incorrectly
B. in step 2 she calculated 9^2 incorrectly
C. in step 4 the pie should have canceled making the correct answer 6 cm
D. Louise correctly calculated the height of the cylinder
we know that
The volume of the cylinder is equal to
[tex]V=Bh[/tex]
where
B is the area of the base
h is the height of the cylinder
we have
[tex]V=486\pi\ cm^{3}[/tex]
[tex]r=9\ cm[/tex]
Find the area of the base B
[tex]B=\pi r^{2}[/tex]
substitute
[tex]B=\pi (9)^{2}[/tex]
step 1
substitute the values in the formula of volume
[tex]486\pi=\pi (9)^{2}h[/tex]
step 2
[tex]486\pi=81\pi h[/tex]
step 3
Divide both sides by 81π
[tex]486\pi/81\pi=81\pi h/81\pi[/tex]
step 4
Simplify
[tex]6=h[/tex]
rewrite
[tex]h=6\ cm[/tex]
therefore
In step 4 the pie should have canceled making the correct answer 6 cm
Answer:
In step 4, the x should have canceled, making the correct answer 6 cm.
