suppose a spherical asteroid has a radius of approcimately 3.2x10^3 m. Use the formula 4/3*pie* r^3 to find the approcimate volume of the asteroid
1.37 x 10^11
4.02 x 10^4
1.35 x 10^12
2.4 x 10^12
d?
it says approximate so no calculator :)
well 4/3 pi is about 4
so
4 r^3
4 * 3.2 * 3.2 *3.2 * 10^9
4 * a bit over 27 call it 30 * 10^9
around 120 * 10^9
1.2 * 10^11
oh look 1.37 * 10^11
The others are far away :)
Well, pie is delicious, but I think you meant to write "pi" instead. Let's do the math!
Using the formula V = (4/3) * pi * r^3, we can substitute the given radius of 3.2x10^3 m:
V = (4/3) * pi * (3.2x10^3)^3
Calculating that, we get:
V ≈ 1.35 x 10^12
So, the approximate volume of the asteroid is 1.35 x 10^12 cubic meters.
Now you can safely say that the volume is out of this world!
To find the approximate volume of a spherical asteroid with a radius of approximately 3.2x10^3 m, you can use the formula for the volume of a sphere:
Volume = (4/3) * pi * radius^3
Let's calculate it:
Volume = (4/3) * pi * (3.2x10^3)^3
= (4/3) * pi * (32x10^2)^3
= (4/3) * pi * (32^3 * 10^6)
= (4/3) * pi * (32 * 32 * 32 * 10^6)
= (4/3) * pi * (32768 * 10^6)
= (4/3) * pi * 32,768 x 10^6
= 1.37 x 10^11
Therefore, the approximate volume of the asteroid is 1.37 x 10^11 cubic meters. Option 1.37 x 10^11 is correct.
To find the approximate volume of the spherical asteroid, you can use the formula:
Volume = (4/3) * π * r^3
Given that the radius of the asteroid is approximately 3.2x10^3 m, we can substitute this value into the formula to calculate the volume.
Volume = (4/3) * π * (3.2x10^3)^3
Now, let's simplify this equation step by step:
Volume = (4/3) * π * (3.2^3) * (10^3)^3
= (4/3) * π * (32,768) * (1,000,000,000)
Calculating the value inside the parentheses:
32,768 * 1,000,000,000 = 32,768,000,000,000
Now substitute the simplified value back into the equation:
Volume = (4/3) * π * 32,768,000,000,000
Calculating further:
Volume ≈ 137,438,953,472,000
Therefore, the approximate volume of the asteroid is 1.37 x 10^14 cubic meters.
So, none of the provided options (1.37 x 10^11, 4.02 x 10^4, 1.35 x 10^12, 2.4 x 10^12) match the calculated value.