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

its C

Explanation:

Answer 2

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 * h`

`\pi` will cancel out from both sides.

`486= (9)^2 * h\\\\h=(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.