16) (G.GMD.3) LEVEL E. The Earth's moon has a great circle size of 10,917 km (circumference of the
moon). Find the surface area and volume of the moon. Round your answers to the nearest tent



Answer :

Answer:

  • Area: 37,936,455.2 km²
  • Volume: 21,971,460,934.3 km³

Step-by-step explanation:

You want the surface area and volume of the Moon, given it has a circumference of about 10,917 km.

Area

The area of a sphere with circumference C can be found from the formula ...

  A = C²/π

  A = (10,917 km)²/π ≈ 37,936,455.2 km² . . . . area

Volume

The volume of a sphere can be found from ...

  V = C³/(6π²)

  V = (10,917 km)³/(6π²) ≈ 21,971,460,934.3 km³ . . . . volume

__

Additional comment

These numbers have so many significant digits that using 3.14 for π is completely inappropriate.

Given the circumference is 5 significant figures, it would make more sense to round the area and volume numbers to 5 significant figures. (We assume "tent" is intended to be tenths. It would make more sense as "ten thousands".) Certainly, there is enough precision here to support whatever rounding you need to do.

View image sqdancefan