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14. How many cubic meters are there in 3.9 cubic miles?
- Given: \(1 \text{ mile} = 1609.344 \text{ m}\)

15. The total length of the Penang Bridge is 13.5 km, making it the second-longest bridge in Malaysia and the fifth-longest in Southeast Asia. Convert this length of the bridge to feet.
- Given: \(1 \text{ ft} = 0.3048 \text{ m}\)

16. A cylindrical tank holds 587 L of water. The volume of a cylinder is given by [tex] V = \pi r^2 h [/tex]. How much water in liters could the tank hold if the radius is tripled?

17. Convert the following to SI units:
a) [tex] 53 \, \text{g mm}^{-3} [/tex]
b) [tex] 78 \, \text{km h}^{-1} [/tex]

Answer :

14. So, there are approximately 1.0157x10¹⁰ m³ in 3.9 cubic miles.

15. So, the length of the Penang bridge is approximately 44298.54 feet.

16. So, applying the formula for volume, when the radius is tripled, the tank could hold approximately 16551.5 liters of water.

17. a) 53gmm⁻³ is equal to 53,000,000 kg/m³.

b) 78kmh⁻¹ is equal to 21.67 m/s

14. To convert cubic miles to cubic meters, we'll use the conversion factor 1 mile = 1609.344 meters.

1 cubic mile = (1 mile)³ = (1609.344 meters)³

1 cubic mile = 2.6093 x 10⁹ cubic meters

Now, to find how many cubic meters are there in 3.9 cubic miles:

3.9 cubic miles * 2.6093 x 10⁹ cubic meters/cubic mile ≈ 1.0157 x 10¹⁰ cubic meters

15. To convert kilometers to feet, we'll use the conversion factor 1 kilometer = 1000 meters and 1 meter = 3.28084 feet.

1 kilometer = 1000 meters = 1000 * 3.28084 feet ≈ 3280.84 feet

Now, to convert 13.5 kilometers to feet:

13.5 kilometers * 3280.84 feet/kilometer ≈ 44298.54 feet

16. Given that the tank holds 587 liters of water and the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.

Let's find the volume of the tank when the radius is tripled:

New radius ([tex]r_{new}[/tex]) = 3 * old radius ([tex]r_{old}[/tex])

The volume ([tex]V_{new}[/tex]) with the new radius is:

[tex]V_{new} = \pi (r_{new})^2h = \pi (3r_{old})^2h = 9\pi (r_{old})^2h[/tex]

Now, we know that the original tank holds 587 liters, so:

[tex]V_{old}[/tex] = 587 L

Now, to find the volume of the tank with the tripled radius, we multiply the original volume by 9π:

[tex]V_{new} = 9\pi V_{old} \approx 9\pi * 587 \approx 16551.5 L[/tex]

17. a) To convert grams per cubic millimeter to SI units (kilograms per cubic meter), we'll use the conversion factor 1 gram = 0.001 kilograms and 1 cubic millimeter = 10⁻⁹ cubic meters.

53 grams per cubic millimeter = 53 * 0.001 kilograms per (10⁻⁹) cubic meters = 53 * 10⁶ kilograms per cubic meter = 53,000,000 kg/m³

b) To convert kilometers per hour to SI units (meters per second), we'll use the conversion factor 1 kilometer = 1000 meters and 1 hour = 3600 seconds.

78 kilometers per hour = 78 * (1000 meters / 3600 seconds) = 78/3.6 meters per second ≈ 21.67 meters per second

Learn more about volumes at

brainly.com/question/15858837

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