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3 years ago

a cylinder has a volume of 500cm³ and a diameter of 18cm. which of the following is the closest to the height of the cylinder

Mathematics

1 answer:

iragen [17]3 years ago

4 0

Step-by-step explanation:

Volume of Cylinder =

$500 {cm}^{3} = \pi {r}^{2} h$

given d = 18

r = 1/2 x d = 9cm,

$\pi( {9}^{2} )h = 500 \\ 81\pi \: h = 500 \\ h = \frac{500}{81\pi} cm$

I will leave the answer in terms of Pi as I am not sure how you want to leave your answer as.

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Pls answe quick and correctly

andriy [413]

Answer:

9890

Step-by-step explanation

7×43×30+5×4×43=9890

4 0

2 years ago

A social media website had 350,000 followers in 2010. The number y of followers

Zolol [24]

Answer:

a) $y(t) = 350(1.02)^t$

b) 394 thousand = 394,000 people will be following the website in 2016

Step-by-step explanation:

Exponential equation for an amount:

The exponential equation for an amount after t years has the following format:

$y = y(0)(1+r)^t$

In which y(0) is the initial value and r is the growth rate, as a decimal.

A social media website had 350,000 followers in 2010. The number y of followers increases by 2% each year.

This means that: $y(0) = 350, r = 0.02$

a. Write an exponential growth function that represents the number of followers t years after 2010

In thousands:

$y(t) = 350(1 + 0.02)^t$

$y(t) = 350(1.02)^t$

b. How many people will be following the website in 2016?

2016 is 6 years after 2010, so this is y(6).

$y(6) = 350(1.02)^6 = 394.2$

Rounding to the nearest thousand:

394 thousand = 394,000 people will be following the website in 2016

5 0

3 years ago

195 students went on a field trip, 21 students rode in cars and the rest of the students filled

Setler79 [48]

Step-by-step explanation:

let x represent the bus

6x + 21 = 195

6x = 195 - 21

6x =174

x = 29

4 0

3 years ago

Read 2 more answers

You charged 1,000 on your credit card for Christmas presents. Your credit card company charges you 26% annual interest, compound

Grace [21]

Answer:

94 months

Step-by-step explanation:

You can use the amortization formula for this.

A = P(r/12)/(1 -(1 +r/12)^(-n))

A is the monthly payment; P is the principal amount; r is the annual interest rate, and n is the number of months.

Filling in the numbers, we can solve for n:

25 = 1000(0.26/12)/(1 -(1+0.26/12)^-n)

Multiplying by the denominator and dividing by 25, we have ...

1 -(1+0.26/12)^-n = 1000(0.26)/(12(25)) = 13/15

Subtracting 13/15 and adding (1+0.26/12)^-n gives ...

2/15 = (1+0.26/12)^-n

Taking logs turns this into a linear equation:

log(2/15) = -n·log(1+0.26/12)

n = log(15/2)/log(1+0.26/12) = 93.999

It would take 94 months, or 7 years 10 months, to pay off the balance.

_____

Your total of payments would be $2,350.

3 0

3 years ago

2. Given that the radius of the Earth is 6340 Km. calculate the Surface Acer of earth <br>

serious [3.7K]

Answer:

Step-by-step explanation:

The surface area of a sphere (which the earth is considered to be) = 4 pi r^2

pi = 3.14

r = 6340

Area = 4 * 3.14 * 6340 * 6340 = 504856736 square km.

You should either round this to 505,000,000 or express a value in scientific notation.

5.05 * 10^8

6 0

3 years ago

a cylinder has a volume of 500cm³ and a diameter of 18cm. which of the following is the closest to the height of the cylinder​

a cylinder has a volume of 500cm³ and a diameter of 18cm. which of the following is the closest to the height of the cylinder