The radius of the sun is 695 500 km
What is its approximate volume written in Scientific notation?
r = 6.955*10^5
v = 4/3 pi r^3
= 4/3 pi * 6.955^3 * 10^15
= 1.409 * 10^18
Well, the sun's volume could be written in scientific notation as approximately 1.412 × 10^18 km^3. That's a whole lot of space for some hot, fiery cosmic shenanigans!
To calculate the volume of the sun, we need to use the formula for the volume of a sphere: V = (4/3)πr³, where V represents the volume and r represents the radius.
Given that the radius of the sun is 695,500 km, we can substitute this value into the formula:
V = (4/3)π(695,500 km)³
To write the volume in scientific notation, we need to express it in the form a x 10^b, where "a" is a number between 1 and 10 (excluding 10) and "b" is an integer.
Let's calculate the volume using an approximate value for π (3.14):
V ≈ (4/3)(3.14)(695,500 km)³
V ≈ (4/3)(3.14)(295,735,645,500,000 km³)
V ≈ 1.33333(3.14)(295,735,645,500,000 km³)
V ≈ 3.14159(295,735,645,500,000 km³)
V ≈ 927,510,484,040,500 km³
To express this value in scientific notation, we can write it as:
V ≈ 9.2751 x 10^14 km³
Therefore, the approximate volume of the sun in scientific notation is 9.2751 x 10^14 km³.
Assuming the sun is a sphere, we use the formula for the volume of a sphere:
V: 4/3π r^3
r = 695 500 = 6.955 × 10^5
π ≈ 3.14 = 3.14 × 10^0
4/3 ≈ 1.33 x 10^0
For the numbers, we get:
6.955^3 × 3.14 × 1.33 = 1,404.988249 = 1,405 to the nearest whole number.
For the powers, we get 5 + 5 + 5 + 0 + 0 = 15
Therefore the volume of the sun is approximately 1,405 × 10^15 km^3
But this is not in Scientific Notation, so we must rewrite 1,405 as 1.405 × 10^3
And the final answer is 1.405 × 10^18 km^3
(Note: The Sun is not a perfect sphere and the actual volume is 1.412 × 10^18 km^3)
(Mathopolis Questions)