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Minchanka [31]
2 years ago
10

help the volume of the roller is 576cm. Calculate the height and area of ​​the roller if its radius is 8cm​.​

Mathematics
1 answer:
erastova [34]2 years ago
6 0

Answer:

143.7cm^2

Step-by-step explanation:

Given data

Volume= 576cm^3

Radius= 8cm

The expression for the volume of cylinder is

V= πr^2h

substitute

576= 3.142*8^2*h

576= 3.142*64*h

576= 201.088h

h= 576/201.088

h=2.86cm

The formula for finding the lateral area of a right circular cylinder is:

A=2πrh

substitute

A= 2*3.142*8*2.86

A= 143.7cm^2

Hence the area is 143.7cm^2

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Solving and graphing systems of equations
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Hey Jackson!

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Ok so what we need to do is solving y= 2x + 1 for y.

So let's start by using the substitution method :)

Substitute 2x + 1 for y in -4x + 3y = 3

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2 years ago
I want to buy a car for $17,500 and I make 13 an hour roughly how long would it take me to reach my goal? & how many hours w
Aneli [31]

Answer:

1347 hours

Step-by-step explanation:

Assuming the income is <u>net income</u> (total after taxes etc.):

  • Cost of car = $17,500
  • Net income = $13 per hour

To calculate the number of hours to be worked to save enough to buy the car, divide the cost of the car by hourly net income:

\begin{aligned}\implies \textsf{Number of hours to work} & = \dfrac{\textsf{Cost of car}}{\textsf{hourly net income}}\\\\& = \sf \dfrac{17500}{13}\\\\& = \sf 1346.1538...\end{aligned}

We have to round the number up to <u>1347 hours</u>, as only $17,498 will be saved if 1346 hours are worked.

The average working week is approximately 40 hours, therefore to calculate how many weeks it would take to earn enough money to purchase the car, divide the number of hours by 40:

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So it would take 34 weeks, working an average of 40 hours a week and not spending <u>any</u> of the money earned, to save enough to purchase the car.

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