Answer:
Volume of fountain cup in gallons = 1,192.5 gallon (Approx.)
Step-by-step explanation:
Given:
Height of Frustum = 8 feet
Diameter of top = 6 feet
Diameter of base = 4 feet
Find;
Volume of fountain cup in gallons
1 cubic foot = 7.5 gallons
Computation:
Radius of top = 6 / 2 = 3 feet
Radius of base = 4 / 2 = 2 feet
Volume of fountain cup in gallons = (πh/3)[R² + r² + Rr]
Volume of fountain cup in gallons = [(3.14)(8)/3)[3² + 2² + (3)(2)]
Volume of fountain cup in gallons = [8.37)[9 + 4 + 6]
Volume of fountain cup in gallons = [8.37)[19]
Volume of fountain cup in gallons = 159.03
Volume of fountain cup in gallons = 159 feet³
Volume of fountain cup in gallons = 159 x 7.5
Volume of fountain cup in gallons = 1,192.5 gallon (Approx.)
