The volume of the fountain cup in gallons is 4775.2 gallons
<h3>Volume of a frustum</h3>
Since the fountain cup is in the shape of a frustum, its volume is given by
V = πh/3(r² + rr' + r'²) where
- h = height of cup = 8 feet,
- r = radius of base of cup = 4 feet and
- r' = radius of top of cup = 6 feet.
So, substituting the values of the variables into th equation, we have
V = πh/3(r² + rr' + r'²)
V = π × 8 ft/3[(4 ft)² + 4 ft × 6 ft + (6 ft)²]
V = π × 8 ft/3[16 ft² + 24 ft² + 36 ft²]
V = π × 8 ft/3 × (76 ft²)
V = 608π ft³/3
V = 1910.088 ft³/3
V = 636.69 ft³
V ≅ 636.7 ft³
<h3>
Volume of the fountain cup in gallons</h3>
Since there are 7.5 gallons per cubic foot,
The volume of the fountain cup in gallons is V = 636.7 ft³ × 7.5 gallons/ft³ = 4775.2 gallons
So, the volume of the fountain cup in gallons is 4775.2 gallons
Learn more about volume of a frustum here:
brainly.com/question/14268491
