All categories

3 years ago

The volume of a cylinder is 770 cm. It's height is 5 cm. Find its approximate radius.

Mathematics

1 answer:

Alinara [238K]3 years ago

3 0

Hey there,

The equation for the volume of a cylinder is V = πr²h.

The first step into finding the radius is to plug in what you already know into the equation:

770 = πr²5

We divide both sides by 5:

154 = πr²

Now we divide both sides by π:

49.0197224723 = r²

Finally we just do the square root of 49.0197224723:

7.0014086063 = r

The radius therefore would be about 7cm.

Hope I helped,

Amna

You might be interested in

Heather has $500 in her savings account. She withdraws $20 per week for gas. Write an equation Heather can use to see how many w

marusya05 [52]

500-20x=200 is the equation

5 0

2 years ago

Read 2 more answers

Which will result in a perfect square trinomial (3x-5) (-3x-5)?

makvit [3.9K]

Answer:

-9x² + 25

Step-by-step explanation:

To solve, use FOIL. FOIL:

First

Outside

Inside

Last

Solve "First":

(3x)(-3x) = -9x²

Solve "Outside":

(3x)(-5) = -15x

Solve "Inside":

(-5)(-3x) = +15x

Solve "Last":

(-5)(-5) = +25

Combine like terms:

-9x² - 15x + 15x + 25

-9x² (-15x + 15x) + 25

-9x² + 25

-9x² + 25 is your answer.

8 0

3 years ago

Give a recursive formula for this sequence: 1,4,7,10,13,16....<br> PLEASE HELP ME! Tysm! (:

Valentin [98]

Answer:

$a_{n+1}$ = $a_{n}$ + 3 ; a₁ = 1

Step-by-step explanation:

Given

1, 4, 7, 10, 13, 16, ......

Note the difference in consecutive terms is constant, that is

4 - 1 = 7 - 4 = 10 - 7 = 13 - 10 = 16 - 13 = 3

Thus to obtain the next term in the sequence ( recursive formula )

Add 3 to the previous term

$a_{n+1}$ = $a_{n}$ + 3 ( with a₁ = 1 )

7 0

3 years ago

Sophia exchanged 1000 U.S. dollars for the South African currency which is called the rand. The exchange rate was 8.05 rand to 1

saw5 [17]

Answer:

Sophia gets 7,150

Step-by-step explanation:

6 0

2 years ago

joe weighs 20lbs.less yhantwice jeffs weight.if jeff would gain 10lbs.,then together they wouldweigh 250lbs. how much does each

masya89 [10]

So,

Let x represent Joe's weight and y represent Jeff's weight.

"Joe weighs 20 lbs. less than twice Jeff's weight."
x = 2y - 20

"If Jeff would gain 10 lbs., then together they would weigh 250 lbs."
(y + 10) + x = 250

We now have our two open sentences.
x = 2y - 20
(y + 10) + x = 250

Get rid of parentheses.
x = 2y - 20
x + y + 10 = 250

We will use Elimination by Substitution.
2y - 20 + y + 10 = 250

Collect Like Terms.
3y - 10 = 250

Add 10 to both sides.
3y = 260

Divide both sides by 3.
$Jeff's\ weight = 86 \frac{2}{3} \ lbs.$

Substitute again.
$x = 2(86 \frac{2}{3} )-20$

Multiply.
$x = 173 \frac{1}{3} -20$

Subtract.
$Joe's\ weight = 153 \frac{1}{3}\ lbs.$

Check.

"Joe weighs 20 lbs. less than twice Jeff's weight."
Jeff's weight times two is 173 and one-third.
20 lbs. less than that is 153 and one-third lbs. Check.

"If Jeff would gain 10 lbs., then together they would weigh 250 lbs."
86 and two-thirds + 10 = 96 and two-thirds.
96 and two-thirds + 153 and one-third equals 250 lbs. Check.

$Joe's\ weight\ is\ 153 \frac{1}{3} \ lbs.$
$Jeff's\ weight\ is\ 86 \frac{2}{3} \ lbs.$

3 0

3 years ago