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23 votes
23 votes
1413 square metres o paint was used to paint a closed cylindrical tank of radius 10 metres. What is the height of the cylindrical tank?

User Rosme
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1 Answer

30 votes
30 votes

Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given measures


r=10m,h=?,TSA=1413m^2

STEP 2: Write the formula for the total surface area of a cylinder


TSA=2\pi r(r+h)

STEP 3: Get the measure of the height

By substitution,


\begin{gathered} 1413=2\pi(10)(10+h) \\ Divide\text{ both sides by 20pi} \\ (1413)/(20\pi)=10+h \\ 22.48859346=10+h \\ h=22.48859346-10 \\ h=12.48859346 \\ h\approx12.49m \end{gathered}

Hence, the height of the cylindrical tank is approximately 12.49m

User Jon Marnock
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