pillowpet2014p6y1wy pillowpet2014p6y1wy
  • 10-04-2018
  • Mathematics
contestada

The radius AND height of a cone are each doubled. What is the new volume? A) 4 3 πhr2 B) 8 3 πhr2 C) 4πhr2 D) 8πhr2

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 10-04-2018
Volume of cone:
[tex] V = \dfrac{1}{3}\pi r^2h [/tex]

Double the radius to 2r, and double the height to 2h.
Volume of new larger cone:
[tex] V = \dfrac{1}{3}\pi(2r)^2 \times 2h [/tex]

[tex] V = \dfrac{1}{3}\pi \times 4r^2 \times 2h [/tex]

[tex] V = \dfrac{1}{3}\pi \times 8r^2 h [/tex]

[tex] V = \dfrac{8}{3}\pi r^2 h [/tex]

Answer: Choice B)
Answer Link
nicksapp47p99gzu nicksapp47p99gzu
  • 09-05-2019

Answer: B

Step-by-step explanation:

Answer Link

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