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wlad13 [49]
3 years ago
6

Find the surface area of a cylinder with a base radius of 2 yd and a height of 3 yd.

Mathematics
1 answer:
kherson [118]3 years ago
3 0

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 = πr^2.

Since our radius is 2 yd, we can substitute r = 2 into this formula.

A = π2^2 = 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!

Please mark as Brainliest! :)

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At the organic produce store you can buy 3 bags of sweet potatoes for $20.07.
Aneli [31]

Answer:

$13.38

Step-by-step explanation:

Use proportions to solve this problem:

$20.07 / 3 bags  = X / 2 bags

multiply both sides by "2 bags" to isolate the unknown X

$20.07 * 2 / 3 = X

Therefore, X = $13.38

8 0
2 years ago
And Matthew ran a lemonade stand on Saturday they agreed that Matthew would get 60% of the profit because a lemonade stand was h
VladimirAG [237]

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)\times25

⇒ 0.6\times25

⇒ $15

6 0
3 years ago
Mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.
Sergeeva-Olga [200]

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:

420* 12=

5040

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>

\frac{6}{100}

<em>The fraction </em>\frac{6}{100}<em> can be represented as (we're two places behind the decimal, in the hundredths place)</em>:

0.06

Now, multiply the decimal form of 6% by $5040:

0.06*5040=

302.40

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:

302.40 ÷ 12=

25.20

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:

420+25.20=

445.20

Therefore, Mason's new rent per month next year will be $445.20.

7 0
3 years ago
Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.2, point, 2 kilograms of yarn and each sca
sp2606 [1]

Answer:

Elliot will make 4 hats and 16 scarves

Step-by-step explanation:

Let x be the number of hats and y be the number of scarves Elliot will make.

Elliott wants to make a total of 20 items, then

x + y = 20

Each hat uses 0.2 kilograms of yarn, so x hats use 0.2x kilograms of yarn and each scarf uses 0.1 kilogram of yarn, then y scarves use 0.1y kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, then

0.1y = 2(0.2x)

Thus,

0.1y = 0.4x

y = 4x

Substitute it into the first equation:

x + 4x = 20

5x = 20

x = 4

y = 20 - 4

y = 16

Hence, Elliot will make 4 hats and 16 scarves

4 0
3 years ago
Anyone know what 68010+01410 is ​
alex41 [277]
Put the first number on top then start adding 6+0, 8+1, 0+4, 1+1, 0+0 and the answer is 69420
7 0
2 years ago
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