The volume of a cone is 31.5 inches cubed and the radius is 3 inches what is the height of the cone

Volume of a cone: (1/3) πr²h

dа ta:

V=31.5 in³,

r=3 in

Then:

V = (1/3) πr²h

31.5 in³ = (1/3) π (3 in) ²h

(1/3) π (3 in) ²h=31.5 in ³

(1/3) π (9 in²) h=31.5 in³

3πin² h=31.5 in³

h = (31.5 in³) / (3π in²)

h≈3.34 in

answer: the height of the cone is 3.34 in.