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Helga [31]
3 years ago
5

(20 POINTS) ALGEBRA 1! PLEASE HELP ITS DUE IN A COUPLE MINS!

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
4 0

In height formulas, the last term of the formula is the starting height.

In this equation, the starting height would be 15 meters.

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Determine to the nearest and tenth the surface area of a tin can with a radius of 8 centimeters and a height of 16 centimeters
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Answer:

1206 square centimeters

Step-by-step explanation:

Hello, I can help you with that

a tin is a cylinder,a cylinder is formed by 2 circles anda 1 rectangle

let's remember

Area of the circle

A=\pi *radius^{2}

Area of the rectangle

A_{r}=length *wide\\

the length of the rectangle is the height of the tin  (16 cm)

and the wide is equal to the perimeter of the circle

perimeter of the circle(P)

P=2*\pi *radius

so, the area of the rectangle is

A_{r}=length *wide\\\\A_{r}=heigth *2*\pi *radius

Step one

find the total area:

the total area is equal to 2 circles + 1 rectangle

A_{total}=(2* \pi *radius^{2} )+(height*2*\pi *radius)

Step two

put the values into the equation

height = 16 cm

radius= 8 cm

A_{total}=(2* \pi *radius^{2} )+(height*2*\pi *radius)\\A_{total}=(2* \pi  )+(16*2*\pi *8)\\A_{total}=(128* \pi  )+(256*\pi )\\A_{total}= 378 \pi\\ A_{total}=1206.37

so, the total area is 1206.37 square centimeters

I hope it helps, have a great day.

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