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Galina-37 [17]
3 years ago
8

Find the surface area of a cylinder

Mathematics
1 answer:
Harrizon [31]3 years ago
3 0
<h2><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</h2>

Find the surface area of a cylinder

whose radius is 5 cm and whose

height is 10 cm.

<h2><u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u>:-</h2>

<h3>Given:-</h3>

\bullet Radius of a cylinder (r) is 5 cm

\bullet Height of a cylinder (h) is 10 cm

<h3>To Find:-</h3>

The surface area of a cylinder

<h2>Solution:-</h2>

We know the formula of surface area of a cylinder is –

<h2>{ \boxed{\rm \red {2πr² \: + \: 2πrh}}}</h2>

So, putting the value of r = 5 cm and h = 10 cm we get,

2πr(r + h) = 2 × \frac{22}{7} × 5(5 + 10)

= \frac{220}{7}(5 + 10)

= \frac{220}{7} × 15

= \frac{220 \: × \: 15}{7}

= \frac{3300}{7}

= 471.43 cm²

<h3>The surface area of a cylinder is <u>4</u><u>7</u><u>1</u><u>.</u><u>4</u><u>3</u><u> </u><u>c</u><u>m</u><u>²</u>. [Answer]</h3>
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Week 1 2 3 4 5 Water Level (inches) − 1 1 4 1 3 8 2 1 2 − 1 5 8 − 1 3 4 Between which two weeks did the water level change the m
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Answer:

The water level change the most in week 3 and week 4

The change = -370 inches

Step-by-step explanation:

Given - Week                              1           2            3           4            5

             Water Level (inches) − 1 1 4     1 3 8      2 1 2      -1 5 8      -1 3 4

To find - Between which two weeks did the water level change the most? Calculate the change .

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The formula for change in water level with respect to week be-

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For week 1 and week 3

Rate of change in water level = \frac{212 - 114}{3 - 1} = \frac{98}{2} = 49 inches

Now,

For week 1 and week 4

Rate of change in water level = \frac{-158 - 114}{4 - 1} = -\frac{272}{3} = -90.67 inches

Now,

For week 1 and week 5

Rate of change in water level = \frac{-134 - 114}{5 - 1} = -\frac{248}{4} = -62 inches

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For week 2 and week 3

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For week 2 and week 4

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For week 2 and week 5

Rate of change in water level = \frac{-134 - 138}{5 - 2} = -\frac{272}{3} = -90.67 inches

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For week 3 and week 4

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The change = -370 inches

Note :

The highest change means which temperature goes the most change in water level. It can be negative also.

So, We have to take the modulus and then find the highest number.

Here, 370 > 173

So, Highest change occurs in Week 3 and Week 4 but not in Week 3 and Week 5.

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