A cone has a volume of #263.9# #cm^3# and base radius #6# #cm#. What is the height of the cone?

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Answer 1 · 2017-05-30T00:48:00

The height of the cone is approximately #7"cm"#.

#V = 1/3 pi r^2 h#

#263.9 = 1/3 pi 6^2 h#

#263.9 = 1.047 xx 36 xx h#

#263.9 = 37.699 xx h#

#h = 263.9 ÷ 37.699#

#h = 7.0002#

With the rounding of the decimals for #pi# and the overall Volume, we can estimate that The height of the cone is #7"cm"#