SorchaZ692301 SorchaZ692301
  • 25-10-2022
  • Mathematics
contestada

what is the curved surface area of a cone on top of a half circle if the cone has a volume and the circle has a 10 area?

what is the curved surface area of a cone on top of a half circle if the cone has a volume and the circle has a 10 area class=

Respuesta :

FaustinaN264719 FaustinaN264719
  • 25-10-2022

Given a cone with base radius, r, and perpendicular height, h,

the volume, V, is given by

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

In this case,

r = 10ft,

h = 17ft,

Therefore,

[tex]V=\frac{1}{3}\times\pi\times10^2\times17=\frac{1700}{3}\pi[/tex]

Hence, V = 1780.24 cubic feet

The volume of the cone is 1780.24 cubic feet

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