To find the diameter of the soccer ball, we first need to understand that the volume V of a sphere can be calculated using the formula:

V = 4/3 * π * r³

where r is the radius of the sphere.

Given that the volume V of the soccer ball is 10770.86 cubic centimeters, we can rearrange the formula to solve for r:

r = ((3V) / (4π)) ^ (1/3)

Substituting the given volume and the approximate value of π into the formula gives:

r = ((3 * 10770.86) / (4 * 3.14)) ^ (1/3)
r = (32312.58 / 12.56) ^ (1/3)
r = 2572.5 ^ (1/3)
r = 13.7 cm (rounded to the nearest tenth)

The diameter of the sphere is twice the radius, so:

d = 2r
d = 2 * 13.7
d = 27.4 cm (rounded to the nearest tenth)

So, the diameter of the soccer ball is approximately 27.4 cm.

Question

To find the diameter of the soccer ball, we first need to understand that the volume V of a sphere can be calculated using the formula:

V = 4/3 * π * r³

where r is the radius of the sphere.

Given that the volume V of the soccer ball is 10770.86 cubic centimeters, we can rearrange the formula to solve for r:

r = ((3V) / (4π)) ^ (1/3)

Substituting the given volume and the approximate value of π into the formula gives:

r = ((3 * 10770.86) / (4 * 3.14)) ^ (1/3)
r = (32312.58 / 12.56) ^ (1/3)
r = 2572.5 ^ (1/3)
r = 13.7 cm (rounded to the nearest tenth)

The diameter of the sphere is twice the radius, so:

d = 2r
d = 2 * 13.7
d = 27.4 cm (rounded to the nearest tenth)

So, the diameter of the soccer ball is approximately 27.4 cm.

Knowee AI · Accepted Answer