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sasho [114]
3 years ago
9

The large sphere has a diameter of 12 feet.

Mathematics
2 answers:
Yuri [45]3 years ago
5 0

Answer : The volume of shaded figure is, 791.28ft^3

Step-by-step explanation :

First we have to calculate the volume of small sphere.

Formula used :

V_1=\frac{4}{3}\pi r^3

where,

V_1 = volume of small sphere

r = radius of small sphere = 3 ft

Now put all the given values in the above formula, we get:

V_1=\frac{4}{3}\times 3.14\times (3)^3

V_1=113.04ft^3

Now we have to calculate the volume of larger sphere.

Formula used :

V_2=\frac{4}{3}\pi r^3

where,

V_2 = volume of larger sphere

r = radius of larger sphere = \frac{\Diameter}{2}=\frac{12ft}{2}=6ft

Now put all the given values in the above formula, we get:

V_2=\frac{4}{3}\times 3.14\times (6)^3

V_2=904.32ft^3

Now we have to calculate the volume of shaded figure.

Volume of shaded figure = Volume of larger sphere - Volume of smaller sphere

Volume of shaded figure = 904.32ft^3-113.04ft^3

Volume of shaded figure = 791.28ft^3

Therefore, the volume of shaded figure is, 791.28ft^3

True [87]3 years ago
3 0

Answer:

2520ft

Step-by-step explanation:

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