MATH SOLVE

2 months ago

Q:
# The water tank in the diagram is in the shape of an inverted right circular cone. The radius of its base is 16 feet, and its height is 96 feet. What is the height, in feet, of the water in the tank if the amount of water is 25% of the tank’s capacity?

Accepted Solution

A:

Answer:6433.98 ftStep-by-step explanation:In order to find what 25% of the tank's capacity is, we know to know the full capacity of the tank then take 25% of that. The volume formula for a right circular cone is[tex]V=\frac{1}{3}\pi r^2h[/tex]We have all the values we need for that:[tex]V=\frac{1}{3}\pi (16)^2(96)[/tex]This gives us a volume of 25735.93 cubic feet total.25% of that:.25 × 25735.93 = 6433.98 ft