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erma4kov [3.2K]
3 years ago
11

Find the surface area of the cylinder in terms of pi

Mathematics
2 answers:
Elza [17]3 years ago
6 0

Answer:

96π

Step-by-step explanation:

SA= 2πRH+2πR^2

R=4

H=8

2π4(8)+ 2π4^2

2π32+2π16

multiply 2*32 and 2*16

64π+32π add them together

SA= 96π

tia_tia [17]3 years ago
5 0

Answer:

<u>A≈301.44</u>

Step-by-step explanation:

The area of a cylinder is A=2πrh+2πr^2

You first do the first problem of the equation (A=2πrh)

You fill in the radius and height ( A=2π(4)(8) )

You first multiply 4 x 8 = 32. ( A=2π(32) )

Then you multiply 2 x 32 = 64. ( A=π(64) )

Then you multiply π x 64 (using 3.14 for π) = 200.96 m^2

You then do the second part of the equation. (A=2πr^2)

You fill in the radius. (A=2π(4)^2)

Then multiply 4 x 4 = 16 (because it's to the power of 2 [4 times itself twice]) and then multiply it by 2.

16 x 2 = 32. ( A=π(32) )

Next you just multiply 32 x π (using 3.14 for π again) = 100.48 m^2.

Then you just add them together:

200.96 m^2 + 100.48 m^2 = 301.44 m^2

So <u>301.44 m^2</u> is your answer.

(I hopefully think it is.)

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A shopkeeper allows 10% discount on the marked price of a bicycle. If a costomer pays Rs 4068 with 13% VAT find the marked price
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\large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N \: ❁}}

  • We're provided - Discount % = 10 % , Cost with VAT [ SP with VAT ] = Rs 4068 & VAT % = 13%. We're asked to find out the marked price of the bicycle. Let's start :

\large{ \tt{❇ \: FIND \: SP \: WITHOUT \: VAT \: / \: SP\: ❇}}

\large{ \tt{❃ \: SP  \: with \: VAT= SP + VAT\% \: of \: SP}}

\large{ \tt{⇢ \: 4068 = SP + 13\% \: of \: SP}}

\large{ \tt{⇢ \: 4068 = SP +  \frac{13}{100}  \: sp}}

\large{ \tt{⇢ \: 4068 =  \frac{100 \:  \: SP + 13 \: SP}{100} }}

\large{ \tt{⇢ \: 4068 =  \frac{113 \: SP}{100} }}

\large{ \tt{⇢ \: 113 \: SP = 406800}}

\large{ \tt{⇢ \: SP =  \frac{406800}{113} }}

\large{ \tt{⇢ \: SP = 3600}}

  • Hence , SP = Rs 3600

\large{ \tt{✽ \: NOW , \: FIND \: THE \: MP \:✽ }}

  • Let Marked Price [ MP ] be x.

\large {\tt{❃ \: SP = MP - dis\% \: of \: MP}}

\large{ \tt{⇾ \: 3600 = x - 10\% \: of \: x}}

\large{ \tt{⇾ \: 3600 = x -  \frac{10}{100} } \: x}

\large{ \tt{⇾ \: 3600 =  \frac{100x - 10x}{100} }}

\large{ \tt{⇾ \: 3600 =  \frac{90x}{100} }}

\large{ \tt{⇾ \: 90x = 360000}}

\large{ \tt{⇾ \: x =  \frac{360000}{90} }}

\large{ \tt{⇾ \: x = Rs \: 4000}}

\large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER :  \boxed {\tt {\: Rs \: 4000}}}}}}

  • Hope I helped! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any assistance! :)
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