Question

Louise calculated the height of a cylinder that has a volume of 486 pi cubic centimeters and a radius of 9 centimeters. Her work is shown below.
V = B h
Step 1: 486 pi = pi 9 squared h
Step 2: 486 pi = 81 pi h
Step 3: StartFraction 486 pi Over 81 pi EndFraction = StartFraction 81 pi Over 81 pi EndFraction h
Step 4: h = 6 pi cm

What error did Louise make when calculating the height of the cylinder?
In step 1, she substituted into the volume formula incorrectly.
In step 2, she calculated 9 squared incorrectly.
In step 4, the Pi should have canceled, making the correct answer 6 cm.
Louise correctly calculated the height of the cylinder.

Answer 1

Answer:

its C

Step-by-step explanation:

Answer 2

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

$B=\pi r^2$

i.e.

$V=\pi r^2 h$

Substituting given values,

$486\pi =\pi (9)^2 \times h$

$\pi$ will cancel out from both sides.

$486= (9)^2 \times h\\\\h=\dfrac{486}{81}\\\\h=6\ cm$

She forgets to cancel down $\pi$ from both sides. So, she get height as $6\pi\ cm$. So, in the $\pi$ should have canceled, making the correct answer 6 cm.