Multiple choice

A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in cm2) in total surface area?

  1. 289

  2. 361.5

  3. 481.25

  4. 962.5

  5. 433.5
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Cutting a sphere into two halves creates two new circular faces, each with area pi * r^2. Diameter = 17.5, so r = 8.75. Increase = 2 * pi * (8.75)^2 = 2 * 3.14159 * 76.5625 = 481.25.

AI explanation

Cutting a sphere into two equal halves creates two new flat circular faces, and the increase in total surface area is the combined area of these two faces. The radius of the sphere is half the diameter, which is 8.75 centimeters. The area of the two new circular faces is 2 times pi times r squared, yielding 2 times 22 divided by 7 times 76.5625. This calculation results in an increase of 481.25 square centimeters.

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