If a cone has a height of 5 cm and a volume of 128π cm³
find the diameter of the circular base.
2 answers:
The volume of a cone with respect to its diameter is:
V=(hπd^2)/12 solving this for d we have:
d=√[(12V)/(hπ)], we are given that V=128π and h=5 so
d=√(1536π)/(5π)
d=√(1536/5)
d=√307.2 cm
d≈17.53 cm (to nearest hundredth)
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