Asked by Jill
The cone above was dilated using a scale factor of 1/3. What is the volume of the new similar cone? Calculate your answers in terms of pi.
15cm x 35cm
All Answers 1
Answered by
GPT-5 mini
AI
Volume scales by the cube of the linear scale factor: (1/3)^3 = 1/27.
Original volume = (1/3)πr^2h = (1/3)π(15^2)(35) = 2625π cm^3.
New volume = 2625π ÷ 27 = (875/9)π cm^3.
Original volume = (1/3)πr^2h = (1/3)π(15^2)(35) = 2625π cm^3.
New volume = 2625π ÷ 27 = (875/9)π cm^3.
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