Find the surface area of a cylinder with a base radius of 2 yd and a height of 3 yd.
1 answer:
Answer:
20 π
Step-by-step explanation:
The surface area of a cylinder is made up of 2 circles and its side.
To find the circles' areas, use the area formula for a circle: A = π.
Since our radius is 2 yd, we can substitute r = 2 into this formula.
A = π = 4π
Now remember, this is only the area of once circle. Multiply 4π by 2 to get the area of both circles: 8π.
Now we need to find the surface area of the side.
If we flatten it out, we can see that the side is actually a curled up rectangle.
The length is the circumference of the circle and the width is the height of the cylinder.
To find the circumference, use the circumference formula for a circle: C = 2πr.
Substitute r = 2 into the formula.
C = 2π2 = 4π
Now that we know that the length is 4π, we can multiply the length by the width to find the area of the cylinder's side.
l = 4π
w = 3
A = lw = 4π * 3 = 12π
Finally, we can add the areas of the circles and the side to get the total surface area.
8π + 12π = 20π
And that is your answer!
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Matthew makes $15 money .
<u>Step-by-step explanation</u>:
- Total profit = $25
- Matthew gets 60% of the profit.
Therefore, the Matthew would get 60% of 25.
⇒ (60/100)25
⇒ 0.625
⇒ $15
Answer:
a. Mason's rent will increase by $302.40 next year.
b. Mason's new rent per month next year will be $445.20.
Step-by-step explanation:
The first question is asking us how much Mason's rent will increase next year.
If the contract on Mason's apartment states that his rent will increase by 6% next year, and he is currently paying $420 per month, to calculate the increase of the rent next year, we will first have to multiply $420 by 12 months to calculate how much Mason is paying in rent a year:
Therefore, Mason is currently paying $5040 a year.
With this information, we will now need to calculate 6% of $5040. To calculate 6% of $5040, convert 6% to decimal form, and multiply it by $5040.
<em>6% means 6 per cent/hundred, so it can be represented as:</em>
<em>The fraction </em><em> can be represented as (we're two places behind the decimal, in the hundredths place)</em>:
Now, multiply the decimal form of 6% by $5040:
Therefore, Mason's rent will increase by $302.40 next year.
-
To calculate Mason's new rent per month next year, we can divide $302.40 into 12 months to see the rent increase per month, and then add that quotient to Mason's current rent per month, $420:
÷
Now, that we know the rent per month will increase by $25.20 next year, we can add $25.20 to Mason's current rent per month:
Therefore, Mason's new rent per month next year will be $445.20.