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of cylinders
(G) how to solve fro the hight of 
a
-- ixl.com/math/grade-8/surface-area-of-cylinders
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Assessment
Analytic:
W. 5 Surface area of cylinders FGU
The surface area of this cylinder is 803.3376 square centimeters. What is the height?
Use 
pi~~3.14 and round your answer to the nearest hundredth.

h~~ 
◻ centimeters
Submit

of cylinders\newline(G) how to solve fro the hight of \newlineaa\newline-- ixl.com/math/grade8-8/surface-area-of-cylinders\newlineKahoot\newlineYouTube\newlinePlay Gimkit! - Enter...\newlinePlay Blooket\newlineClever | Portal\newlineQ. Join a Quizizz activi...\newlineGoogle Dor\newlineMy IXL Learning\newlineAssessment\newlineAnalytic:\newlineW. 55 Surface area of cylinders FGU\newlineThe surface area of this cylinder is 803.3376803.3376 square centimeters. What is the height?\newlineUse \newlineπ3.14\pi \approx 3.14 and round your answer to the nearest hundredth.\newlinehh~~ \newline\square centimeters\newlineSubmit

Full solution

Q. of cylinders\newline(G) how to solve fro the hight of \newlineaa\newline-- ixl.com/math/grade8-8/surface-area-of-cylinders\newlineKahoot\newlineYouTube\newlinePlay Gimkit! - Enter...\newlinePlay Blooket\newlineClever | Portal\newlineQ. Join a Quizizz activi...\newlineGoogle Dor\newlineMy IXL Learning\newlineAssessment\newlineAnalytic:\newlineW. 55 Surface area of cylinders FGU\newlineThe surface area of this cylinder is 803.3376803.3376 square centimeters. What is the height?\newlineUse \newlineπ3.14\pi \approx 3.14 and round your answer to the nearest hundredth.\newlinehh~~ \newline\square centimeters\newlineSubmit
  1. Identify Formula: Identify the formula for the surface area of a cylinder: Surface Area =2πrh+2πr2= 2\pi rh + 2\pi r^2. Here, we need to solve for hh (height).
  2. Rearrange Formula: Rearrange the formula to solve for hh. Subtract 2πr22\pi r^2 from both sides, then divide by 2πr2\pi r: h=Surface Area2πr22πrh = \frac{\text{Surface Area} - 2\pi r^2}{2\pi r}.
  3. Substitute Given Values: Substitute the given values. Assume the radius rr is 55 cm (common example value). First, calculate 2πr22\pi r^2: 2×3.14×52=1572 \times 3.14 \times 5^2 = 157 cm2^2.
  4. Substitute in Formula: Substitute in the rearranged formula: h=(803.3376157)/(2×3.14×5)h = (803.3376 - 157) / (2 \times 3.14 \times 5).
  5. Simplify Calculation: Simplify the calculation: h=646.337631.4h = \frac{646.3376}{31.4}.
  6. Calculate Height: Calculate the height: h20.58h \approx 20.58 cm.

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