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
Arte-miy333 [17]
3 years ago
9

The volume of a cylinder is 81 cm3 if the radius is 3 cm what is the height of the cylinder

Mathematics
1 answer:
liq [111]3 years ago
5 0

Answer:

h = 2.86479 cm

General Formulas and Concepts:

<u>Symbols</u>

  • π (pi) ≈ 3.14

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Geometry</u>

Volume of a Cylinder Formula: V = πr²h

  • <em>r</em> is radius
  • <em>h</em> is height

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em>V</em> = 81 cm³

<em>r</em> = 3 cm

<u>Step 2: Solve for </u><em><u>h</u></em>

  1. Substitute in variables [Volume of a Cylinder Formula]:                                81 cm³ = (3.14)(3 cm)²h
  2. Evaluate exponents:                                                                                         81 cm³ = (3.14)(9 cm²)h
  3. Multiply:                                                                                                             81 cm³ = (28.2743 cm²)h
  4. [Division Property of Equality] Divide 28.2743 cm² on both sides:              2.86479 cm = h
  5. Rewrite:                                                                                                             h = 2.86479 cm
You might be interested in
3+-√(-3)^2 - 4(5)(-1)
Alona [7]

Answer:

Step-by-step explanation:

Easy way to do this is step by step.  Your quadratic, from your entry, must be

5x^2-3x-1.

Step by step looks like this, one thing at a time:

x=\frac{3+\sqrt{(-3)^2-4(5)(-1)} }{2(5)} becomes

x=\frac{3+\sqrt{9-(-20)} }{10} becomes

x=\frac{3+\sqrt{9+20} }{10}

and this of course is

x=\frac{3+\sqrt{29} }{10}

Do the same with the subtraction sign to get the other solution.

If you're unsure of how to enter it into your calculator, do it step by step so you don't mess up the sign.  If you enter it incorrectly, you could end up with an imaginary number when it should be real, or a real one that should be imaginary.

Just my advice as a high school math teacher.

3 0
3 years ago
The graph of a relation must pass the vertical line test.<br><br> True or false
ozzi

Answer:

The graph of a relation must pass the vertical line test.

True

5 0
3 years ago
Read 2 more answers
An arc is intercepted by a two radio that form an angle of 3π/4 radians. If the radius of the circle is 7 inches then which of t
elena-14-01-66 [18.8K]
The correct answer is 18.5
8 0
3 years ago
X²+y²=25 xy=12 find the value of (3x+3y)²​
Papessa [141]

Answer:

Step-by-step explanation:

(a + b)²=a²+2ab+b²

(3x+3y)²= (3x)²+2*3x*3y+(3y)²

=9x² + 18xy + 9y²

=9x²  + 9y² + 18xy

= 9*(x²+y²) +18xy

=9*25 + 18*12

=225 + 216

=441

7 0
3 years ago
Which of the following represents the sum of 3+10+......+87+94 if the arithmetic series has 14 terms
nirvana33 [79]
Here is a trick that not a lot of people know

(# of terms)*(first+last)/2
(in case you don't know, * means multiply and / means divide)


5 0
3 years ago
Read 2 more answers
Other questions:
  • Does anyone else just go here and answer questions for fun cus ur bored or is that just me..?? REEEEEEEEEEEEEEEEEEEEEEEEEEEEE i
    15·2 answers
  • Find the inverse of the following function.
    9·1 answer
  • Compute the range of the following data set:<br> 89, 65, 34, 91
    14·1 answer
  • TIMED PLEASE HURRY HELP WITH 2 EASY QUESTIONS
    9·1 answer
  • The area of a trapezoid is 864cm². It has a height of 24 cm, and the length of one of its bases is 30 cm. What is the length of
    14·1 answer
  • Find the length of the hypotenuse
    7·1 answer
  • Help Me please!!!!! Rn
    11·2 answers
  • Simplify and find the perimeter of the triangle
    5·2 answers
  • A number n, decreased by 10
    15·2 answers
  • (100 points) ASAP need help with khan academy practice
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!