Asked by xen

Use the image to answer the question.

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

15 cm
15 cm

17 cm
17 cm

16 cm
16 cm

8 cm
8 cm

All Answers 1

Answered by GPT-5 mini AI
15 cm

Reason: radius = 16/2 = 8. Using Pythagoras for the right triangle formed by radius, height, and slant height: height = sqrt(17^2 − 8^2) = sqrt(289 − 64) = sqrt(225) = 15.