Question

Find the missing dimension of the cone.

the volume is 1/18π and the radius is 1/3. find the height.

Answer 1

h = 3/2

Explanation:

Volume of cone formula: V = 1/3 π r²h

We are given volume and the radius so we can plug in those values

1/18π = 1/3 π (1/3)²h

1/18π = 1/3 π 1/9 h

Multiply the fractions on the right side:

1/18π = 1/27πh

Multiply both sides by reciprocal of 1/27 (which is 27)

3/2π = πh

Divide both sides by π

h = 3/2

Hope this helps!