Question

A cone has a diameter of 24cm and a volume of 2713cm3. What is best approximation of height of cone?

Answer 1

V=(1/3)hpir^2
aprox

d=2r
d/2=r
d=24
r=24/2=12

V=2713

2713=(1/3)hpi(12^2)
2713=(1/3)hpi(144)
2713=48pih
divide both sides by 48
56.5208=hpi
aprox pi=3.14
divide both sides by 3.14
56.5208/3.14=h=18.0003
height=18cm