All categories

3 years ago

A cylinder has a volume of 486 pi ft^3. if the height is 6ft what is the diameter

Mathematics

1 answer:

rusak2 [61]3 years ago

7 0

Answer:

Step-by-step explanation:

Alright so here you have to work backwards. the volume of a cylinder is pi*r^2*h.

Your equation: 486 pi = pi*r^2*6

You know the height is 6 feet, so you can get rid of the 6 feet hanging off of your equation by dividing both sides by 6:

81 pi = pi*r^2

Now you notice that both sides have pi. You can eliminate it by dividing both sides by pi:

81 = r^2

To isolate the r, radius, you have to take the square root of both sides, since a square root is the inverse operation of squaring. You get:

9 = r

Now that you have the radius, you can find the diameter by multiplying the radius by 2, because a diameter = 2 * the radius:

18 = d

Hope this helps!

You might be interested in

I need help finding the domain and range of this graph

SIZIF [17.4K]

Answer:

Step-by-step explanation:

Okay so to find the domain and range we need to find the x values and the y values: the domain is x and the range is y. Therefore the start of our x values can be concluded as -5 and the end is 5, so our domain will be -5 < x < 5: Note, I couldn't put the less than or equal to symbol. SO now our range is the values that are up and down, the range does down at 1 and the range is the highest at 3 so we can determine the range is 1 < y < 3. This is a continuous graph, so there is continuous x values and y values in this graph, so it's simple to use the start and the end of the domain and range followed by the possible y and x values which is represented by y and x.

Hope this helps. :)

8 0

3 years ago

Ava deposited $3,500 in an account that earned 4.375% interest

Bumek [7]

Answer:

4335.61

Step-by-step explanation:

Using the equation A = P (1 + r/n)^nt

lets fill in the variables,

P (principal) is 3500.00

r (rate) is .04375 - we do this in decimal form

n (number of times interest is doubled) here it is annually, could be monthly or daily too, but we are told annually, so we use 1

t (time) is 5 years

So: 3500(1+.04375/1) ^ 1(5)

pemdas

parenthesis first 1 +.04375/1 = 1.04375

exponents next 1 x 5 = 5

so now we have 3500 (1.04375) ^5

take 1.04375 to the power of 5 (pemdas) then multiplication

= 3500(1.2387465058) or

A = 4335.61

This is the same result as calculating simple interest for 5 years but each year calculating off the new Principal amount that includes interest.

3500 x .04375 = 153.125 or 3653.125 *(year one)

159.82 = 3812.95

166.82 = 3979.77

174.11 = 4153.88

181.73 = 4335.61

5 0

2 years ago

A factory made 4250

vodomira [7]

Step-by-step explanation:

Total amount of cookies = 4250

butter cookies, b

Almond cookies, a

Chocolate cookies, c

It made 715 more butter cookies than

almond cookies

b = a + 715

It made 5 times as many chocolate cookies as almond

5a = c

Total amount of cookies

= a + b + c

= a + (a+715) + (5a)

= 7a + 715

7a + 715 = 4250

7a = 4250-715

a = 3535 / 7

a = 505

c = 5a

= 5 (505)

= 2525

The factory make 2525 chocolate cookies.

5 0

2 years ago

The two-way table shows the number of people whose hobbies are reading or solving puzzles and who either ride a motorcycle or do

enot [183]

The number of people whose hobby is reading but not riding a motorcycle is 5.

<h3>What is the relative frequency of not riding a motorcycle?</h3>

We want to calculate the number of people whose hobby is reading but they don't like riding the motorcycle,

therefore, when we look into the table we will find out that block A2 is the block that represents the number of people whose hobby is reading but not riding a motorcycle.

Hence, the number of people whose hobby is reading but not riding a motorcycle is 5.

Learn more about Relative frequency:

brainly.com/question/14610326