lextrujillo0494
lextrujillo0494 lextrujillo0494
  • 04-09-2018
  • Mathematics
contestada

what is the volume
of a right cone with a radius of 10 and a height of 13.5?

what is the volume of a right cone with a radius of 10 and a height of 135 class=

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sqdancefan
sqdancefan sqdancefan
  • 04-09-2018

Given

a right circular cone with radius 10 cm and height 9 cm

Find

the volume

Solution

The volume of a right circular cone of radius r and height h is given by the formula

... V = (1/3)π·r²·h

For the given cone, this evaluates to

... V = (1/3)π·(10 cm)²·(9 cm) = 300π cm³ ≈ 942.5 cm³

_____

Note that the 13.5 cm dimension is the slant height, useful for finding the surface area, but not for finding volume. The perpendicular distance from the base to the  apex (9 cm) is the height of interest for volume purposes.

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