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.)
Answer: 2 × 3 × 5 × 11 = 330.
Step-by-step explanation: Since, the prime factors of 6600 are 2, 3, 5, 11. Therefore, the product of prime factors = 2 × 3 × 5 × 11 = 330.
Answer: 4
Step-by-step explanation:
24 ml / 6 hours = 4 ml / 1 hour
<span>4x + 3y = 12
-2x - 5y = 1
multiply bottom by 2
</span><span>4x + 3y = 12
-4x - 10y = 2
add both equations
-7y = 14
divide by 7
y = -2
plug into first equation
4x + 3(-2) = 12
solve for x
4x = 18
x = 4.5
</span>
