A sphere and its dimension are shown in the diagram.
Which measurement is closest to the volume of the sphere in cubic centimeters?
Responses
A11,494.04 cm³
11,494.04 cm³
B1,430.76 cm³
1,430.76 cm³
C1,437.76 cm³
1,437.76 cm³
D2,144.66 cm³
the sphere has a diameter of 14
The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where r is the radius of the sphere.
Since the sphere has a diameter of 14, the radius would be half of the diameter, which is 7.
Plugging this radius into the formula, we get V = (4/3)π(7)^3 = (4/3)(22/7)(343) = 4(154)/3 = 616/3 = 205.33 cm³.
Therefore, the measurement closest to the volume of the sphere in cubic centimeters would be B) 1,430.76 cm³.