Average diameter of about 7900 miles. Jupiter has an average diameter of 86900 miles. The volume is Jupiter is approximately how many times larger than the earth?

To find out how many times larger the volume of Jupiter is compared to Earth, we need to compare their volumes. The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where r is the radius of the sphere.

Given that the diameter of Earth is approximately 7900 miles, we can find the radius by dividing the diameter by 2:

Radius of Earth = (7900 miles) / 2 = 3950 miles.

Now, let's calculate the volume of Earth:

Vearth = (4/3)π(3950 miles)^3.

The diameter of Jupiter is given as 86900 miles, so the radius of Jupiter would be:

Radius of Jupiter = (86900 miles) / 2 = 43450 miles.

Now, we can calculate the volume of Jupiter:

Vjupiter = (4/3)π(43450 miles)^3.

To find out how many times larger the volume of Jupiter is compared to Earth, we can divide the volume of Jupiter by the volume of Earth:

Volume ratio = Vjupiter / Vearth.

Let's calculate the volume ratio:

Volume ratio = [(4/3)π(43450 miles)^3] / [(4/3)π(3950 miles)^3].

Now, let's simplify the equation and cancel out common terms:

Volume ratio = (43450 miles)^3 / (3950 miles)^3.

Performing the calculations:

Volume ratio = (43450^3) / (3950^3) = 157.19.

Therefore, the volume of Jupiter is approximately 157.19 times larger than the volume of Earth.

(86,900 - 7,900)/ 7,900 = 10 times