Find the volume of the oblique pyramid with a square base. Note that the figure is not to scale. Round your answer to the nearest hundredth if necessary.
Find the volume of a sphere with a radius of 4. Round your answer to the nearest hundredth if necessary.
To find the volume of the sphere with a radius of 4, you can use the formula for the volume of a sphere:
[
V = frac{4}{3} pi r^3
]
Where ( V ) is the volume and ( r ) is the radius.
1. Substitute the radius into the formula:
[
V = frac{4}{3} pi (4)^3
]
2. Calculate ( 4^3 ):
[
4^3 = 64
]
3. Now substitute back into the formula:
[
V = frac{4}{3} pi (64)
]
[
V = frac{256}{3} pi
]
4. Now calculate ( frac{256}{3} ):
[
frac{256}{3} approx 85.33
]
5. Now multiply by ( pi ) (approximately 3.14):
[
V approx 85.33 times 3.14 approx 267.58
]
So, the volume of the sphere is approximately 267.58 cubic units when rounded to the nearest hundredth.
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