Multiple choice

A solid right circular cylinder and a solid hemisphere stand on equal bases and have equal heights. What is the ratio of their total surface areas?

  1. 3 : 2

  2. 3 : 4

  3. 4 : 3

  4. 2 : 3
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let radius be r and height be h. For a cylinder, h = r (since it stands on a hemisphere base). Total surface area of cylinder = 2*pi*r*h + 2*pi*r^2 = 2*pi*r^2 + 2*pi*r^2 = 4*pi*r^2. Total surface area of hemisphere = 3*pi*r^2. The ratio is 4:3.

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