Answered



A cone has a diameter of 12 in. and a height of 16 in.



What is the volume of the cone?


Use 3.14 as an approximation for pi and express your final answer in hundredths.

Verified Answer :

Susuu

V=πr²\(\frac{h}{3}\)

Radius = 12/2 = 6 in
Height = 16 in

V = 3.146²16/3
V = 602.88 

The volume would be: Volume = 602.88 in^3

penfila11Pen

The formula for the Volume of a Cone is \(\frac{1}{3}\)\(\pi\)r²h
Let us substitute:
V=\(\frac{1}{3}\)×3.14×6²×16
  =602.88 in³
The radius is half the diameter.(12in=d,r=\(\frac{d}{2}\)=\(\frac{12}{2}\)= 6 in)
pi was taken as 3.14