Multiple choice

A sphere of radius 21 cm is cut into 8 identical parts by 3 cuts (1 cut along each axis). What will be the total surface area (in cm2) of each part?

  1. 844.5

  2. 1732.5

  3. 1039.5

  4. 1115.6

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A sphere cut by three planes along the axes results in 8 octants. Each octant has three flat faces (quarter-circles of radius 21) and one curved surface (one-eighth of the sphere's surface area). Total surface area = 3 * (pi * r^2 / 4) + (4 * pi * r^2 / 8) = (3/4 + 1/2) * pi * r^2 = 1.25 * pi * 21^2 = 1.25 * 441 * 3.14159 = 1731.8, which rounds to 1732.5.