Respuesta :
Answer:
Minimum 7 buckets of water is needed to completely fill spherical storage tank.
Step-by-step explanation:
We are given the following in the question:
Cylindrical bucket:
Radius, r = 6 inches
Height = 18 inches
Volume of bucket = Volume of cylinder
[tex]V = \pir^2 h \\V = 3.14\times (6)^2\times 18\\V =2034.72\text{ cubic inches}[/tex]
Spherical storage tank:
Radius, r = 15 inches
Volume of tank = Volume of sphere =
[tex]V =\dfrac{4}{3}\pi r^3\\\\\V = \dfrac{4}{3}\times 3.14\times (15)^3\\\\V = 14130\text{ cubic inches}[/tex]
Number of baskets required =
[tex]n = \dfrac{\text{Volume of tank}}{\text{Volume of bucket}}\\\\n =\dfrac{14130}{2034.72} = 6.94 \approx 7[/tex]
Thus, minimum 7 buckets of water is needed to completely fill spherical storage tank.
