Multiple choice

The volume of a cylinder is 5500 cm3. If its curved surface area is 4400 sq. cm, find its height.

  1. 380 cm

  2. 480 cm

  3. 180 cm

  4. 280 cm

  5. NA
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Dividing the volume formula (pi * r^2 * h = 5500) by the curved surface area formula (2 * pi * r * h = 4400) gives r / 2 = 5 / 4, which simplifies to r = 2.5 cm. Substituting r = 2.5 cm back into the curved surface area equation yields 2 * (22/7) * 2.5 * h = 4400, which solves to h = 280 cm.

AI explanation

The volume of a cylinder is pi*r^2*h = 5500 and its curved surface area is 2*pi*r*h = 4400. Dividing the volume formula by the curved surface area formula eliminates h and pi, leaving r/2 = 5500/4400. Solving this gives the radius r = 2.5 cm, and substituting it back into the surface area formula 2*(22/7)*2.5*h = 4400 results in a height of 280 cm.

Keep practicing — related questions