Okay, if the circumference of a sphere is
3.9 x 10^4 (scientific notation), then what is it's radius? And what is it's volume?
I know how to do the calculations, but the answers I get don't seem to make sense!
radius=cir/2PI=3.9E4/2PI=6.2E3
Right?
YESSS that's what I got for radius! Thank you so much, I thought I was going crazy cause my lab partner had a diff result but wouldn't relent.
Now, what about volume?
To find the radius of a sphere given its circumference, you can use the formula:
C = 2πr
Where C is the circumference and r is the radius of the sphere.
In this case, the given circumference is 3.9 x 10^4. To convert this number from scientific notation to decimal notation, we multiply 3.9 by 10^4:
C = 3.9 x 10^4 = 39,000
Now we can substitute this value into the formula:
39,000 = 2πr
To solve for the radius, we need to isolate r. Divide both sides of the equation by 2π:
r = 39,000 / (2π)
Using a calculator, approximate the value of π to 3.14159:
r ≈ 39,000 / (2 x 3.14159)
Evaluate the expression to find the radius:
r ≈ 6,207.13
So, the radius of the sphere is approximately 6,207.13 units.
To calculate the volume of a sphere, you can use the formula:
V = (4/3)πr^3
Substitute the calculated radius from the previous step into the formula:
V = (4/3)π(6,207.13)^3
Using the value of π as 3.14159, calculate the volume:
V ≈ (4/3) x 3.14159 x (6,207.13)^3
Evaluate the expression to find the volume:
V ≈ 607,108,191,478.3
So, the volume of the sphere is approximately 607,108,191,478.3 cubic units.