Multiple choice

Find the radius of a hemisphere with the volume of $20$ cm$^3$. $(\pi = 3.142)$

  1. $2.121 cm$
  2. $4.121 cm$
  3. $5.121 cm$

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

Volume of hemisphere = (2/3) * pi * r^3 = 20. r^3 = (20 * 3) / (2 * 3.142) = 30 / 3.142 = 9.548. r = cube root of 9.548 = 2.121.

AI explanation

Using the volume of a hemisphere formula, V equals two thirds times pi times radius cubed, we solve for the radius by isolating radius cubed, which equals 20 times 3 divided by 2 times 3.142. This simplifies to approximately 9.548, and taking the cube root yields a radius of about 2.121 centimeters.

Keep practicing — related questions