Multiple choice

The radius and the height of a cylinder are in the ratio 5 : 7. Its volume is 550 cm3. Find its radius.

  1. 9 cm

  2. 4 cm

  3. 7 cm

  4. 5 cm
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Radius r = 5x, height h = 7x. Volume = pi * r^2 * h = (22/7) * (5x)^2 * (7x) = 550. 22 * 25 * x^3 = 550. 550 * x^3 = 550. x = 1. Radius = 5 * 1 = 5 cm.

AI explanation

Let the radius be 5x and the height be 7x based on the given ratio. Using the formula for the volume of a cylinder, we set pi times (5x) squared times 7x equal to 550. Taking pi as 22 over 7, this simplifies to 550 x cubed equals 550, yielding x equals 1. Therefore, the radius is 5 times 1, which is 5 cm.

Keep practicing — related questions