Question

The dimensions of the fountain cup are as follows:

Answer 1

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.)