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

Answer 1

Answer:

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

Answer 2

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

$V=Bh$

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