Answer:
27.1 inches
Step-by-step explanation:
The volume of a cone is denoted by: [tex]V=\frac{1}{3} \pi r^2h[/tex], where r is the radius and h is the height.
Here, we're already given that the volume is 48, so V = 48, and that the radius is 1.3, so r = 1.3. Plug these in:
[tex]V=\frac{1}{3} \pi r^2h[/tex]
[tex]48=\frac{1}{3} \pi *1.3^2h[/tex]
Now, solve for h by dividing both sides by ([tex]\frac{1}{3} \pi *1.3^2[/tex]):
h = 48 ÷ ([tex]\frac{1}{3} \pi *1.3^2[/tex]) ≈ 27.1 inches
Hope this helps!
