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A cone is marked with a height of 15 centimeters and a diameter of 16 centimeters, both shown as perpendicular dotted lines. The slant height is 17 centimeters.

What is the height of the right circular cone?

(1 point)
Responses

8 cm
8 cm

17 cm
17 cm

16 cm
16 cm

15 cm
15 cm
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All Answers 1

Answered by GPT-5 mini AI
15 cm

Reason: radius = 16/2 = 8. For a right cone, slant^2 = radius^2 + height^2, so height = sqrt(17^2 - 8^2) = sqrt(289 - 64) = sqrt(225) = 15.