Answer:
4 centimeters
Step-by-step explanation:
The volume of a sphere can be found using the following formula:
v=4/3*π*r^3
We know the volume is 34 cm^3. Therefore, we can substitute 34 in for v.
34=4/3*π*r^3
We are trying to find r, or the radius. Therefore, we need to get r by itself on one side of the equation.
First, divide both sides by pi.
34/π=4/3*π*r^3 /π
34/π =4/3 * r^3
10.8225361= 4/3 * r^3
Next, divide both sides by 4/3, or multiply by the reciprocal of the fraction.
To find the reciprocal, flip the numerator and denominator of the fraction
4/3 ---flip top number and bottom number --> 3/4
3/4 * 10.8225361= 4/3*r^3 *3/4
3/4* 10.8225361= r^3
8.11690208= r^3
Finally, take the cube root of both sides of the equation.
∛8.11690208=∛r^3
∛8.11690208=r
2.00969477=r
Round to the nearest whole number.
r=2
Now, we must find the diameter. The diameter is twice the radius.
d=2r
The radius is 2 cm.
d= 2 * 2cm
d= 4 cm
The diameter is 4 cm
