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A solid cylinder of radius 3cm has a total surface area of 36\(\pi\)cm2. Find its...

Mathematics
JAMB 1980

A solid cylinder of radius 3cm has a total surface area of 36\(\pi\)cm2. Find its height

  • A. 2cm
  • B. 3cm
  • C. 4cm
  • D. 5cm
  • E. 6cm
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Correct Answer: Option B
Explanation

Area 2\(\pi\)r2 + 2 \(\pi\)r(r + h)

= 2\(\pi\)r(r + h)

36\(\pi\) = 6\(\pi\)(r + h)

36\(\pi\) = 6\(\pi\)(3 + h)

36\(\pi\) = 18\(\pi\) + 6\(\pi\)h

36\(\pi\) - 18\(\pi\) = 6\(\pi\)h

Divide both side by 6\(\pi\)

h = 3cm


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