Question

Find the volume of the given prism. Round to the nearest teastronomers have used different methods for estimating the size of the planets. One estimate of the diameter of the planet Pluto is 2,274 kilometers. Based on that diameter, find the volume of Pluto, assuming that it is a sphere. Use 3.14 for π. Round to the nearest if necessary.

Answer 1

To find the volume of Pluto, we use the formula V = (4/3)πR³, where R is the radius of the sphere. By substituting the diameter of Pluto and performing the calculations, we can find that the volume of Pluto is approximately 7.15 x 10^9 cubic kilometers.

Step-by-step explanation:

To calculate the volume of a sphere, we use the formula V = (4/3)πR³, where π is approximately 3.14 and R is the radius of the sphere. In this case, the diameter of Pluto is given as 2,274 kilometers. To find the radius, we divide the diameter by 2: 2,274 km / 2 = 1,137 km. Now we can substitute this value into the formula: V = (4/3)(3.14)(1,137 km)³. After performing the calculations, we find that the volume of Pluto is approximately 7.15 x 10^9 cubic kilometers.