Multiple choice

Volume and total surface area of a solid hemisphere are equal. Find the radius of hemisphere

  1. $3\ cm$
  2. $4\ cm$
  3. $4.5\ cm$
  4. $5.5\ cm$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Volume of hemisphere = (2/3)*pi*r^3. Total surface area = 3*pi*r^2. Setting them equal: (2/3)*pi*r^3 = 3*pi*r^2. Dividing by pi*r^2 (assuming r is not 0): (2/3)*r = 3, so r = 9/2 = 4.5.

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