1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nekit [7.7K]
3 years ago
12

Sandra calculated the height of a cylinder that has a volume of 576 pi cubic centimeters and a radius of 8 centimeters. Her work

is shown below. V = B h Step 1: 576 pi = pi 8 squared h Step 2: 576 pi = 64 pi h Step 3: StartFraction 576 pi Over 64 pi EndFraction = StartFraction 64 pi Over 64 pi EndFraction h Step 4: h = 9 pi cm What error did Sandra make when calculating the height of the cylinder? In step 1, she substituted into the volume formula incorrectly. In step 2, she calculated 8 squared incorrectly. It should be 16 rather than 64. In step 4, the pi should have canceled, making the correct answer 9 cm. Sandra calculated the height of the cylinder correctly.
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
3 0

Answer:

The error was made in step 4, \pi should have also been cancelled making the correct answer as 9 cm.

Step-by-step explanation:

Given that:

Volume of cylinder, V = 576 \pi\ cm^3

Radius of cylinder, r = 8 cm

To find:

The error in calculating the height of cylinder by Sandra ?

Solution:

We know that volume of a cylinder is given as:

V = B h

Where B is the area of circular base and

h is the height of cylinder.

Area of a circle is given as, B = \pi r^2

Let us put it in the formula of volume:

V = \pi r^2 h

Step 1:

Putting the values of V and r:

576\pi = \pi 8^2 h

So, it is correct.

Step 2:

Solving square of 8:

576\pi = \pi \times 64\times  h

So, step 2 is also correct.

Step 3:

h=\dfrac{576\pi}{64 \pi} = \dfrac{64 \pi \times 9}{64\pi}

Step 4:

Cancelling 64 \times \pi,

h = 9 cm

So, the error was made in step 4, \pi should have also been cancelled making the correct answer as 9 cm.

You might be interested in
David bought a car for 5000$ for how much should he sell it if he wants 10% profit from it
BartSMP [9]

Answer:

Step-by-step explanation:

5,500$ lol

8 0
3 years ago
Read 2 more answers
What is the solution to the following system of equations? x+y=5
marta [7]

Answer:

(3,2)

Step-by-step explanation:

Let's solve this via elimination method:

\begin{cases} x+y=5\\x-y=1\end{cases}

By subtracting equation 2 from equation one we obtain:

\begin{cases} x+y=5\\-(x-y=1)\end{cases}\\\\0x+2y=4\\\\y=2

Next we can use any equation either 1 or 2 to determine what x is, I'll use equation 1.  Let y=2 and so:

x+y=5\\\\x+2=5\\x=5-2\\\\x=3

Therefore the solution for the system of equations is:

x=3 and y = 2 as an ordered pair we have (3,2)

7 0
3 years ago
Simplify this expression 8+19m-6m
gladu [14]
I am pretty sure that it would be 13m + 8. All you have to do is combine the like terms.
7 0
3 years ago
200 days from march 3 is
zepelin [54]
197 days....200-3 days = 197
3 0
3 years ago
Read 2 more answers
What is the rate of change between (-32,0) and (-31,2)
Brums [2.3K]
2-0/ -31 - -32
= 2-0/ -31 + 32
= 2/1
= 2
8 0
3 years ago
Other questions:
  • 3•3•3 in exponential form
    5·2 answers
  • What is 2.5 divided by 1000
    15·1 answer
  • A garden snail traveled 1⁄40 of a mile in 1⁄2 an hour. What was the speed of the snail?
    13·1 answer
  • What type of association is shown by the scatterplot?
    7·2 answers
  • The polygons are regular polygons. What is the area of the shaded region to the nearest tenth? (see attachment)
    11·2 answers
  • 1 of every 20 cookiee falls apart. if you nake 40 cookues how many will fall apart?
    7·2 answers
  • Wayne walked from the car dealership to the post office and then from the post office to the garbage dump. How far did Wayne wal
    15·2 answers
  • Pls help! marking brainliest!!
    8·1 answer
  • Write the set using the roster method A={a|a an even number and 15< a< =25}
    11·1 answer
  • sally works in a factory that produces 1,000 televisions each day. when 40 televisions were sampled, it was found that 6 were de
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!