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3 years ago

If a cylinder has a height of 12 cm and a radius of 4 cm, what do you do to find the volume of the cylinder?

Mathematics

2 answers:

Yakvenalex [24]3 years ago

7 0

Answer:

603 cm³ (approx)

Step-by-step explanation:

V = pi × r² × h

V = 3.14 × 4² × 12 = 602.88 cm³

jenyasd209 [6]3 years ago

6 0

Answer:

V = 603.43 cm³

Step-by-step explanation:

V = πr²h

Where r = 4 cm, h = 12 cm

V = 22/7 × 4² × 12

V = 22/7 × 4 × 4 × 12

V = 4224/7

V = 603.43 cm³

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Can someone pls explain how did he got this answer? I did not get 7 in my calculator. Pls thank u

iren2701 [21]

Answer:

You square 44 and 31 but you have two square cot². This is your error.

That's why you are getting wrong answer or you are not getting 7 in your calculator

8 0

3 years ago

Hi! Algebra two question, rational exponents.

ivanzaharov [21]

Simplifying $\left(x^2+8xy+16y^2\right)^{\frac{1}{3}}.\left(x+4y\right)^{\frac{1}{3}}$ we get $\left(x+4y\right)}$

Step-by-step explanation:

We need to simplify:

$\left(x^2+8xy+16y^2\right)^{\frac{1}{3}}.\left(x+4y\right)^{\frac{1}{3}}$

For solving, we will first simplify the terms inside the exponent and then solve exponent

First Solving: $\left(x^2+8xy+16y^2\right)}.\left(x+4y\right)}$

Using the formula: $(a^2+2ab+b^2)=(a+b)^2$

$\left(x^2+8xy+16y^2\right)}.\left(x+4y\right)}\\\left((x)^2+2(x)(4y)+(4y)^2\right)}.\left(x+4y\right)}\\\left(x+4y\right)^2}.\left(x+4y\right)}$

Using exponent rule:

$a^m.a^n=a^{m+n}$

$\left(x+4y\right)^{2+1}}\\\left(x+4y\right)^3}$

Now,

$(\left(x+4y\right)^3})^{\frac{1}{3}}\\Simplifiying:\\\left(x+4y\right)}^{\frac{3}{3}}\\\left(x+4y\right)}$

So, simplifying $\left(x^2+8xy+16y^2\right)^{\frac{1}{3}}.\left(x+4y\right)^{\frac{1}{3}}$ we get $\left(x+4y\right)}$

Keywords: Solving Rational exponents:

Learn more about Solving Rational exponents at:

#learnwithBrainly

4 0

4 years ago

2 In eIn2x - In eIn 10x = In 30<br>x=30<br>x=75<br>x= 150<br>x=300

Alex_Xolod [135]

The value of x = 75 ⇒ 2nd answer

Step-by-step explanation:

Let us revise some rules of logarithmic function

$ln(a) - ln(b)=ln(\frac{a}{b})$
$e^{ln(a)}=a$
$ln(a)^{n}=nln(a)$ vice-versa $nln(a)=ln(a)^{n}$
If ㏑(a) = ㏑(b), then a = b

∵ $2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)$

- Use the 2nd rule to simplify it

∵ $e^{ln(2x)}=2x$

∵ $e^{ln(10x)}=10x$

∴ 2㏑(2x) - ㏑(10x) = ㏑(30)

- Use the 3rd rule in the 1st term

∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)

∴ ㏑(4x²) - ㏑(10x) = ㏑(30)

- Use the 1st rule with the left hand side

∵ $ln(4x^{2})-ln(10x)=ln(\frac{4x^{2}}{10x})$

∴ $ln(\frac{4x^{2}}{10x})=ln(30)$

∵ $\frac{4x^{2}}{10x}=\frac{2x}{5}=\frac{2}{5}x$

∴ $ln(\frac{2}{5}x)=ln(30)$

- Use the 4th rule

∴ $\frac{2}{5}$ x = 30

- Multiply both sides by 5

∴ 2 x = 150

- Divide both sides by 2

∴ x = 75

The value of x = 75

Learn more:

You can learn more about logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

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3 years ago

Elise has 23 gallons of gas in her car. She wants to drive 87 miles one way to her sister's house. Her car gets 19 miles per gal

Montano1993 [528]

Elise will have enough gas to get to her sisters house and back. she will have 437 miles of gas before she goes.

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4 years ago

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the tallest building in Africa is the Carlton centre in johannesburg, south Africa. what is the distance from the top of this 73

Korvikt [17]

Its near 1 mile or half a mile

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3 years ago