Question

A spherical model of planet Earth has a radius of 3 ft.

What is the approximate volume of the model of planet earth?

Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.

Enter your answer in the box.

Answer 1

The approximate volume of a spherical model of Earth with a radius of 3 ft is calculated using the formula V = (4/3)πr³, which results in a volume of 113.04 cubic feet when rounded to the nearest hundredth.

Step-by-step explanation:

To calculate the approximate volume of a spherical model of planet Earth with a radius of 3 ft, we use the formula for the volume of a sphere, which is V = (4/3)πr³. Plugging in the values, we get V = (4/3) × 3.14 × (3 ft)³. Performing the calculation, we first cube the radius (3 ft × 3 ft × 3 ft = 27 ft³), then multiply by π (approximately 3.14), and finally multiply by 4/3. So, V = (4/3) × 3.14 × 27 ft³ = 113.04 ft³.

When we round to the nearest hundredth, the approximate volume of the model is 113.04 cubic feet.

Answer 2

The approximate volume of the model of planet earth is
`113.04\ ft^(3)`

Step-by-step explanation:

we know that

The volume of the sphere is equal to

`V=(4)/(3)\pi r^(3)`

we have

`r=3\ ft`

substitute

`V=(4)/(3)(3.14)(3^(3))=113.04\ ft^(3)`