Multiple choice

The height of a right circular cylinder is $14 cm$ and its curved surface surface is $704 sq.cm$. Then its volume is :

  1. $1408c{m^3}$
  2. $2816c{m^3}$
  3. $5632c{m^3}$
  4. $9856c{m^3}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Curved surface area = 2 * pi * r * h = 704. 2 * (22/7) * r * 14 = 704. 44 * 2 * r = 704. 88r = 704, r = 8. Volume = pi * r^2 * h = (22/7) * 64 * 14 = 22 * 64 * 2 = 2816.

AI explanation

Using the curved surface area formula for a cylinder, CSA = 2 pi r h, we substitute the known values: 704 = 2 times (22/7) times r times 14. Solving for r gives 704 = 88 r, so the radius r is 8 cm. We then apply the cylinder volume formula, V = pi r squared h, to get V = (22/7) times (8 squared) times 14, which equals 22 times 64 times 2, resulting in a volume of 2816 cubic cm.

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