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sleet_krkn [62]
3 years ago
9

Find the surface area, to the nearest square centimeter, of a cylinder with diameter 6 cm and height 8 cm. A.48cm^2 B.452cm^2 C.

207cm^2 D. 72cm^2
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
7 0

The right answer is Option C.

Step-by-step explanation:

Given,

Diameter = 6 cm

Radius = \frac{Diameter}{2}=\frac{6}{2}=3\ cm

Height = 8 cm

π = \frac{22}{7}

Surface area = 2πrh+2πr²

Surface area = 2*\frac{22}{7}*3*8+2*\frac{22}{7}*(3)^2\\

Surface area = \frac{1056}{7}+\frac{396}{7}=\frac{1056+396}{7}

Surface area = \frac{1452}{7}

Surface area = 207.4 cm²

Rounding off to nearest whole number

Surface area = 207 cm²

The surface area of cylinder is 207cm².

The right answer is Option C.

Keywords: surface area, cylinder

Learn more about cylinder at:

  • brainly.com/question/12849439
  • brainly.com/question/12860445

#LearnwithBrainly

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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

6n + 7 = 55

<u>Step 2: Solve for </u><em><u>n</u></em>

  1. Subtract 7 on both sides:                    6n = 48
  2. Divide 6 on both sides:                       n = 8

<u>Step 3: Check</u>

<em>Plug in n into the original equation to verify it's a solution.</em>

  1. Substitute in <em>n</em>:                    6(8) + 7 = 55
  2. Multiply:                               48 + 7 = 55
  3. Add:                                     55 = 55

Here we see that 55 does indeed equal 55.

∴ n = 8 is a solution of the equation.

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