alyssanicoleT05 alyssanicoleT05
  • 29-07-2020
  • Mathematics
contestada

ng ne Volume of a Cone
Complete the statements about the cone.
The height is
units.
The radius is
units.
10
The volume is
or cubic units.
6

ng ne Volume of a Cone Complete the statements about the cone The height is units The radius is units 10 The volume is or cubic units 6 class=

Respuesta :

LazyBun
LazyBun LazyBun
  • 29-07-2020
Answer: height = 6, radius = 8, Volume = 401.92

Explanation:
Height = 6 given

Find radius:

Use Pythagorean’s theorem to find the side of the right triangle:

a^2 + b^2 = c^2
b^2 = c^2 - a^2
b^2 = 10^2 - 6^2
b^2 = 100-36
b^2 = 64
b = 8

And since length b is also the radius of the circle then radius = 8

Find volume:

V = pi x r^2 x h/3

V = 3.14 x 8^2 x 6/3

V = 3.14 x 64 x 2

V = 401.92
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