A water tank in the shape of a cone has a diameter of 12 feet and a height of 15 feet. What volume of water, in cubic feet, can the tank hold? Round your answer to the nearest tenth and use 3.14 for π
.(1 point)
that is wrong.
The volume of a cone can be calculated using the formula:
V = (1/3)πr^2h
First, we need to find the radius (r) of the cone. The diameter is given as 12 feet, so the radius is half of that:
r = 12/2 = 6 feet
Now we can calculate the volume:
V = (1/3)(3.14)(6^2)(15)
V = (1/3)(3.14)(36)(15)
V = (0.3333)(3.14)(36)(15)
V = (0.3333)(3.14)(540)
V = (1.0466)(540)
V = 565.904
Rounding to the nearest tenth, the tank can hold approximately 565.9 cubic feet of water.