Multiple choice

A solid sphere of diameter 35 cm is cut into two equal halves. What will be the increase in total surface area?

  1. 1989 cm2

  2. 1961 cm2

  3. 1925 cm2

  4. 1962 cm2
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 = 35, r = 17.5. Increase = 2 * pi * (17.5)^2 = 2 * (22/7) * 306.25 = 1925.

AI explanation

Cutting the sphere creates two new flat circular faces, and the increase in total surface area is the combined area of these two faces, which is 2 times pi times r squared. The radius r is half the diameter, so r equals 17.5 cm. The increase is 2 times 22/7 times 17.5 squared, which calculates to 1925 cm2.

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