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cestrela7 [59]
3 years ago
6

Find the volume of a cylinder with radius 8cm and height 10 cm, correct to 2 decimal places.

Mathematics
1 answer:
serious [3.7K]3 years ago
6 0

Answer:

2010.62cm^3

Step-by-step explanation:

The formula for the area of a circle is : \pi *radius^2

To work this out you would first have to work out the area of the circle. You can do this by multiplying pi by 8 squared, this gives you 201.06. This is because in order to calculate the volume you must calculate the area of one face of the shape.

The next step is to multiply 201.06 by 10, this gives you 2010.62.

1) Multiply pi by 8 squared.

\pi*8^2=201.06

2) Multiply 201.06 by 10.

201.06*10=2010.62cm^3

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Is the decimal form of 13/3 a rational number? explain ​
Bumek [7]

Step-by-step explanation:

The word 'rational' in 'rational numbers' comes from the word 'ratio.' That is because rational numbers are those numbers which can be obtained when one integer is divided by another integer. For example, the number 8 is a rational number because it results when the integer 24 is divided by the integer 3, as in the ratio 24/3.

3 0
3 years ago
The tens digit is twice the units digit. Reverse the digits, add 2 and the new number is 34 less than the original number. Find
inna [77]

Answer:

Step-by-step explanation: X and Y represent the digits.

The tens digit is twice the units digit.

The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.

10x +y 10y +x are Original & Reversed numbers

X = 2y means the Tens digits is twice the units digit.

10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.

Substitute 2y for x to solve for y

10y +2y +2= 10(2y) + y -34

Distribute and combine like terms

12y + 2 = 20y +y - 34

34 +2 = 21y -12y

36 = 9y Divide both sides to find the value of y.

4 = y

X = 2(4) Substitute 4 for y to find x

X = 8

Original number: 84 Reversed number: 48

Substitute into equation model

48 +2= 84 -34

50 = 50

True!

3 0
3 years ago
Simplify (write without the absolute value sign): <br><br> |x÷3|, if x &lt; 0
polet [3.4K]

Answer:

0

Step-by-step explanation:

zero divided by anything that is integral is zero and 3 in a integer

0

7 0
3 years ago
Read 2 more answers
Suppose you start with a full tank of gas (14 gallons) in your truck. After driving 4 hours, you now have 2
Alex73 [517]

Answer:

  a) -3 gallons per hour

  b) y = -3x +14

Step-by-step explanation:

Rate of change is computed by dividing the amount of change by the interval over which it occurred.

<h3>a)</h3>

Here the amount of gas decreased from 14 to 2 gallons, so a decrease of 14-2 = 12 gallons. That occurred over a 4-hour period, so the rate of change is (-12 gallons)/(4 hours) = -3 gallons/hour.

__

<h3>b)</h3>

The initial amount was 14 gallons, so the equation for the line describing remaining gas will be ...

  y = -3x +14 . . . . gas in the tank after x hours

4 0
2 years ago
A rectangle measures 6 cm by 4 cm. Another rectangle with adjacent sides 8 cm and x cm is geometrically similar to it. Find the
Elis [28]

Answer:

5 1/3 or 5.33333333333333333333333333333333333333333333333333333

Step-by-step explanation:

to find the scale factor, you must divide the two equal sides.

\frac{6}{8}

which equals

\frac{3}{4} or 0.75

Now, the way to get the value of x is to divide 4 by 3/4 0r 0.75

\frac{4}{0.75}

Which equals

5.333 repeating or 5 1/3

Hope this helps. If you have any follow-up questions, feel free to ask.

Have a great day! :)

6 0
3 years ago
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