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viva [34]
3 years ago
11

If the radius of a cylinder was shrunk down to a quarter of its orignal size and the height was reduced to a third of its origin

al size, what would be the formula to find the modified surface area?
Mathematics
1 answer:
svetoff [14.1K]3 years ago
6 0

The modified area is (1/48) (2πr(4h+3r))

<u>Step-by-step explanation:</u>

Let the radius be 'r' and height be 'h'.

Area of cylinder= 2π r(h+r)

The radius is shrunk down to quarter of its original radius

 r = r/4

The height is reduced to a third of its original height

h = h/3

New Area = 2π(r/4) [(h/3) +(r/4) ]

= (1/4)2πr[(4h+3r) /12]

= (1/48) (2πr(4h+3r))

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Answer:

that is 6 and 5/ 12 cups of flour are required

Step-by-step explanation:

total number of cups required to make a loaf of bread

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making their denominators equal and that to 4

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adding numerators

= (12 + 3)/ 4

= 15/ 4

total cups of flour required to make pretzels

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making their denominators equal and that to 3

= 6/ 3 + 2/ 3

adding nunerators

= (6 + 2)/ 3

= 8/ 3

Total cups required:-

= 15/ 4 + 8/ 3

taking lcm of denominators to make the fractions equivalent

= {(15 × 3) + (8 × 4)}/ 12

= {45 + 32}/ 12

= 77/ 12

6 \frac{5}{ 12}

<em>that is 6 and 5/ 12 cups of flour are required</em>.

4 0
3 years ago
Read 2 more answers
The solution set of 2-3x/4-8=3x/4​
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Step-by-step explanation:

\\ \tt{:}\leadsto  \frac{2 - 3x}{4 - 8} =  \frac{3x}{4}   \\ \\ \tt{:}\leadsto 4(2 - 3x) = 3x(4 - 8) \\ \\ \tt{:}\leadsto 8 - 12x = 3x( - 4) \\ \\  \tt{:}\leadsto 8 - 2x =   - 12x \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\ \\ \tt{:}\leadsto 8 =  - 12x + 2x \\ \\ \tt{:}\leadsto 8 =  - 10x \\ \\ \tt{:}\leadsto x =  \frac{ - 10}{8}  \\ \\ \tt{:}\leadsto x =  \frac{ - 5}{4}

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X=number of corect
y=number of incorrect
5 points for each correct so 5x
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I like putting it into slope intercep tofrm which is y=mx+b
add y to both sides
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subsitute values for x and get values for y
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16 is the minumum number of queswtions correctlyh answered


so
x<u>></u>16

subsitute 16 for x
y=5(16)-76
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as we subsitute more numbers over 16, we get these points
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(18,14)
(19,19)
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(23,39)
x=correct answer
y=wrong answers
5 0
3 years ago
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