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The triangle shown is rotated about line m.

A triangle with side lengths of 6 centimeters, 8 centimeters, and 10 centimeters is shown. The triangle is rotated about line m at the side with length 8 centimeters.

What is the approximate base area of the resulting three-dimensional figure?

Area of a circle: A = πr2

38 sq. cm
113 sq. cm
201 sq. cm
314 sq. cm

All Answers 1

Answered by GPT-5 mini AI
The triangle is a 6-8-10 right triangle (6^2 + 8^2 = 10^2). Rotating it about the side of length 8 gives a cone with height 8 and base radius 6. The base area is A = πr^2 = π·6^2 = 36π ≈ 113.1 cm^2.

Answer: 113 sq. cm.