Mathematics
14.07.2020 12:57
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PLEASE HELP! Find the surface area of the cylinder with diameter 20 in. and height

PLEASE HELP! Find the surface area of the cylinder with diameter 20 in. and height 2 in. Use 3.14 for
pi.
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leahumelinda
leahumelinda
4,8(52 marks)

\boxed {\boxed {\sf SA= 753.6 \ in^2}}

Step-by-step explanation:

The surface area of a cylinder is found using this formula.

SA=2 \pi rh+ 2 \pi r^2

We know the diameter is 20 inches and the height is 2 inches. We must find the radius.

The radius is half the diameter. r= d/2 r= 20 in /2= 10 in

Now we know that:

r= 10 \ in \\h= 2 \ in

Substitute the values into the formula. Also, plug 3.14 in for pi.

SA=2 (3.14)(10  \ in)(2 \ in)+ 2 (3.14)(10 \ in)^2

Solve according to PEMDAS: parentheses, exponents, multiplication, division, addition, and subtraction.

Solve the exponent.

(10 in)ยฒ= 10 in * 10 in= 100 inยฒ

SA=2 (3.14)(10  \ in)(2 \ in)+ 2 (3.14)(100 \ in^2)

Multiply all the numbers together.

SA=2 (3.14)(20 \ in^2)+ 2 (3.14)(100 \ in^2)

SA=125.6 \ in^2+628 \ in^2

Add.

SA= 753.6 \ in^2

The surface of the cylinder is 753.6 square inches.

kalebrayburn62
kalebrayburn62
5,0(62 marks)
5-v>-4 and 5-v<4
-v>-9 and -v<-1
v<9 and v>1
solution set: 1<v<9

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