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lora16 [44]
3 years ago
7

Find the surface area of a cylinder with a base radius of 2 cm and a height of 8 cm

Mathematics
1 answer:
gtnhenbr [62]3 years ago
6 0

Answer:

82.6cm2

Step-by-step explanation:

\pi {r}^{2}  + \pi {r}^{2}  + 2  \pi \: r h

\pi =  \frac{22}{7}

radius =2cm

height=8cm

( \frac{22}{7}  \times 2 \times 2 )+ ( \frac{22}{7}  \times 2 \times 2) + (2 \times  \frac{22}{7}  \times 2 \times 8)

Multiplying the numerators and The whole numbers, we have

\frac{88}{7}  +  \frac{88}{7}  +  \frac{402}{7}

Since the denominators of the fractions are the same, we add the numerators.

\frac{88 + 88 + 402}{7}  =  \frac{578}{7}  \\ which \: becomes \\

82.57{cm}^{2}  = 82.6 {cm}^{2}

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3. Make sure the units you are using are compatible (generally, all the same). If your height is in one unit (say inches) and your diameter is in another unit (say centimeters), you need to do units conversion before you put the numbers in the formula. The result of putting your units in the formula with your numbers should be that you end up with units cubed. For example, for a radius of 2 cm and a height of 3 cm, the volume will be
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6. Make certain your calculator is being used correctly. If parentheses are involved, make sure you enter the closing parentheses--as opposed to letting the calculator put them in according to its own rules. If division or fractions are involved, make sure you have parentheses around the denominator in every case. 1/2*3 ≠ 1/(2*3) It can be helpful to use a calculator that shows you what it did. (The Google calculator does that, for example.)

7. Sometimes, it helps just to do the calculation twice (possibly in a different order). Inadvertent error can creep in even when you think you're paying attention.

8. If you're doing the math by hand, make use of all available techniques for checking your arithmetic.
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