Using 3.14 for pi, rounding to the nearest tenth, if necessary. A spherical storage tank has a diameter of 48 ft and is full of water. How many delivery trucks with cylindrical tanks measuring 8 ft in diameter and 10 ft long can be completly filled from the storage tank?

You gave the diameter of the large storage tank but not its height.

So we don't have enough information.

Each smaller tank on a truck has a volume of
π(4^2)(10) = 502.4

Once you know height of the large tank
evaluate its volume using the same step I took above, then divide that answer by 502.4

To find the number of delivery trucks that can be completely filled from the storage tank, we need to compare the volume of the storage tank with the volume of a single delivery truck.

Step 1: Calculate the radius of the storage tank
The diameter of the storage tank is given as 48 ft. We need to divide it by 2 to get the radius.
Radius = Diameter / 2 = 48 ft / 2 = 24 ft

Step 2: Calculate the volume of the storage tank
The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius.
Volume of the storage tank = (4/3)π(24 ft)³ = (4/3)π(13824 ft³) ≈ 57858.67 ft³ (rounded to the nearest tenth)

Step 3: Calculate the volume of a single delivery truck
The diameter of the cylindrical tank is given as 8 ft. We need to divide it by 2 to get the radius.
Radius = Diameter / 2 = 8 ft / 2 = 4 ft

The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.
Volume of a delivery truck = π(4 ft)²(10 ft) = π(16 ft²)(10 ft) = 160π ft³ ≈ 502.4 ft³ (rounded to the nearest tenth)

Step 4: Calculate the number of delivery trucks that can be filled
Number of delivery trucks = Volume of the storage tank ÷ Volume of a single delivery truck
Number of delivery trucks = 57858.67 ft³ ÷ 502.4 ft³ ≈ 115.22 (rounded to the nearest tenth)

Therefore, you can completely fill approximately 115 delivery trucks with cylindrical tanks measuring 8 ft in diameter and 10 ft long from the storage tank.