Multiple choice

If the volume of a right circular cylinder with its height equal to the radius is $25\dfrac{1}{7}$, then the radius of the cylinder of is equal to

  1. $\pi $
  2. $2 cm$
  3. $3 cm$
  4. $4 cm$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume = pi*r^2*h. Given h=r, V = pi*r^3. 176/7 = pi*r^3. Using pi=22/7, 176/7 = (22/7)*r^3. r^3 = 176/22 = 8. r = 2.

AI explanation

Using the cylinder volume formula V = pi r squared h and given that height equals radius, we substitute h with r to get V = pi r cubed. Setting this equal to the given volume, pi r cubed equals 25 and 1/7, which is 176/7. Assuming standard units where pi is 22/7, we have (22/7) r cubed equals 176/7, so r cubed equals 8. Taking the cube root of 8 yields a radius of 2 cm.

Keep practicing — related questions