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4 years ago

Surface area of cylinders

Mathematics

1 answer:

Nitella [24]4 years ago

6 0

Answer:

SA = 402.14 square inches

Step-by-step explanation:

Imagine you unroll the cylinder. You will be left with a rectangle and two "lids" (disks).

The rectangular area will be of dimension:

Ar = (height)*(circumference of the disk)

Ar = (12 in) * (8 in) *pi = 301.60 in^2

The area of one disk will be

Ad = pi*(radius^2) = pi*(4^2 in^2) = 50.27 in^2

So the total surface area will be

SA = Ar + 2* Ad = 402.14 in^2 (square inches)

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andrew11 [14]

Answer:

A. $x+y=6...(1)$

$20x+15y=100...(2)$

B. Yes, Pablo can buy 2 pair of pants and 4 shirts.

Step-by-step explanation:

A. Let x be the number of pairs of pants and y be the number of shirts.

We have been given that Pablo wants to purchase 6 additional clothing pieces for his wardrobe. We can represent this information as:

$x+y=6...(1)$

We are also told that each pair of pants costs $20 and each shirt costs $15. So the cost of x pairs of pants will be 20x and cost of y shirts will be 15y.

As Pablo wants to spend $100 on clothing, so we can represent this information as:

$20x+15y=100...(2)$

Therefore, the system of equation representing the given situation will be:

$x+y=6...(1)$

$20x+15y=100...(2)$

B. To find if Pablo can buy 2 pair of pants and 4 shirts we will substitute x=2 and y=4 in our both equations.

$2+4=6$

$6=6$

$20*2+15*4=100$

$40+60=100$

$100=100$

We can see that x=2 and y=4 satisfies our both equation, therefore, Pablo can buy 2 pair of pants and 4 shirts.

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