Step-by-step explanation:
Explanation:
The formula for volume of a sphere is:
V=43πr3
Since we know the volume, and have to find the diameter (twice the radius), we need to determine the radius first.
Hence, using the given data:
2304π=43πr3
We can cancel π from each side.
2304=43r3
Multiply both sides by 34.
2304×34=34×43r3
2304×34=34×43r3
2304×34=r3
5762304×34=r3
576×3=r3
To find the cube root, we separate the factors of the number on the left.
3⋅3⋅3⋅4⋅4⋅4=r3
(3⋅4)(3⋅4)(3⋅4)=r3
12×12×12=r3
12=r
Since the radius (r) is 12, the diameter, which is 2r, will be:
2×12=24
