Question

Louise calculated the height of a cylinder that has a volume of 486 x cubic centimeters and a radius of 9 centimeters. Her work

is shown below
V=Bh
Step 1: 486x - R9?h
Step 2: 486 181 sch
486% 81
Step 3: 812 813
Step 4: h=6x 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 g2 incorrectly.
In step 4, the should have canceled, making the correct answer 6 cm.
Louise correctly calculated the height of the cylinder.

Answer 1

In step 4, the x should have canceled, making the correct answer 6 cm.

Answer 2

Option C.

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

`V=Bh`

where

B is the area of the base

h is the height of the cylinder

we have

`V=486\pi\ cm^(3)`

`r=9\ cm`

Find the area of the base B

`B=\pi r^(2)`

substitute

`B=\pi (9)^(2)`

step 1

substitute the values in the formula of volume

`486\pi=\pi (9)^(2)h`

step 2

`486\pi=81\pi h`

step 3

Divide both sides by 81π

`486\pi/81\pi=81\pi h/81\pi`

step 4

Simplify

`6=h`

rewrite

`h=6\ cm`

therefore

In step 4 the pie should have canceled making the correct answer 6 cm