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
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Step-by-step explanation:
6 sides .
If in a regular polygon, each interior angle = 120 deg, then each exterior angle = 180–120 = 60 deg. So the polygon has 360 deg/60 deg = 6 sides. The figure is a regular hexagon.
Answer:
2
Step-by-step explanation:
The average rate of change over [2, 8] is the change in the y-values over the change in the x-values.
