Question

Estimate how many golf balls will fit inthe bed of a pickup truck. To calculateyour estimate, you must makeassumptions.1. Assume truck bed 8ft x 5ft x 1.5ft.2. Assume diameter for golf ball of 1.5inches.Your answer:10,000 golf balls30,000 golf balls60,000 golf balls90,000 golf balls

Answer 1

To estimate how many golf balls will fit in the bed of a pickup truck, we can calculate the volume of the truck bed and the volume of a golf ball and then divide the two.

Step-by-step explanation:

To estimate how many golf balls will fit in the bed of a pickup truck, we first need to calculate the volume of the truck bed and the volume of a golf ball. Then, we can divide the volume of the truck bed by the volume of a golf ball to get an estimate.

The volume of the truck bed is obtained by multiplying its length, width, and height: 8ft * 5ft * 1.5ft = 60 cubic feet.

The volume of a golf ball can be calculated using the formula for the volume of a sphere: (4/3) * pi * r³. Substituting the given diameter of 1.5 inches, the radius is 0.75 inches or 0.0625 feet.

Now we can calculate the volume of a golf ball: (4/3) * 3.14 * (0.0625)³ = 0.0072 cubic feet.

Finally, we can divide the volume of the truck bed by the volume of a golf ball to get the estimate: 60 cubic feet / 0.0072 cubic feet ≈ 8333 golf balls.

Therefore, an estimate of how many golf balls will fit in the bed of a pickup truck is approximately 8,333 golf balls.

Answer 2

Q) We have a truck bed of 8ft x 5ft x 1.5ft, we want to know how many golf balls of 1.5 inches of diameter will fit in that bed.

A) In order to estimate how many golf balls will fit in the truck, we will make the following assumptions:

We will consider that the balls will perfectly fill all the volume of the bed of the truck. In real life that's not the case because when the balls are one over the other, we see that we have unfilled spaces between them.

1) First, we calculate the volume of the bed truck:

`V_{\text{truck}}=8ft\cdot5ft\cdot1.5ft=60ft^3=60(12\cdot in)^3=103680in^3`

Where we have taken into account that: 1 ft = 12 in.

2) Now we calculate the volume of each golf ball. We use the formula of volume of a sphere:

`\begin{gathered} V_{\text{ball}}=(4)/(3)\cdot\pi\cdot R^3=(4)/(3)\cdot\pi\cdot((D)/(2))^3=(1)/(6)\cdot\pi\cdot D^3 \\ V_{\text{ball}}=(1)/(6)\cdot\pi\cdot(1.5in)^3\cong1.767in^3 \end{gathered}`

3) Finally, we calculate the number of balls that fit inside the bed of the truck dividing the volume of the bed by the volume of each ball:

`N=\frac{V_{\text{truck}}}{V_{\text{ball}}}\cong(103680in^3)/(1.767in^3)\cong58777.589\cong60000`

Answer

We see that approximately 60000 balls will fit inside the bed of the truck.