Multiple choice

What will be the height of a cylinder whose radius is 7 cm and the total surface area is 968 $cm^2$ ?

  1. $16$ cm
  2. $14 $cm
  3. $15$ cm

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The total surface area of a cylinder is given by the formula TSA = 2 * pi * r * (r + h). Substituting the given values, we have 2 * (22/7) * 7 * (7 + h) = 968, which simplifies to 44 * (7 + h) = 968. Solving for h, we get 7 + h = 22, which gives a height of 15 cm.

AI explanation

The total surface area of a cylinder is given by the formula 2 times pi times r times (r + h). Substituting the given surface area of 968 and radius of 7, we write 968 equals 2 times 22 over 7 times 7 times (7 + h). This simplifies to 968 equals 44 times (7 + h), so 7 + h equals 22; therefore, the height is 15 cm.

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