Answer:
The difference in volume is 410.29 cubic cm.
Step-by-step explanation:
We are given the following in the question:
Diameter of large scoop = 10 cm
D = 10 cm
[tex]R =\dfrac{D}{2} = 5 ~cm[/tex]
Diameter of small scoop = 6 cm
d = 6 cm
[tex]r = \dfrac{d}{2} = 3~cm[/tex]
Volume of sphere:
[tex]V = \dfrac{4}{3}\pi r^3[/tex]
where r is the radius
Difference in volume =
[tex]V_L-V_S\\\\=\dfrac{4}{3}\pi (R^3 - r^3)\\\\=\frac{4}{3}\times (3.14) \times ((5)^3-(4)^3)\\\\= 410.29[/tex]
Thus, the difference in volume is 410.29 cubic cm.
