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slega [8]
3 years ago
5

What is the volume of a hemisphere with a radius of 26.7 m, rounded to the nearest tenth of a cubic meter?

Mathematics
2 answers:
attashe74 [19]3 years ago
8 0

Answer:

39,865.1m^3

Step-by-step explanation:

a hemisphere is half a sphere.

And if the formula for the volume of a sphere is:

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

we must calculate the volume of the sphere and in the end divide by two to find the volume of the hemisphere.

Since the radius is:

r=26.7m

substituting this into the formula for volume:

V=\frac{4\pi (26.7m)^3}{3} \\\\V=\frac{4(3.1416)(19,034.163m^3)}{3} \\\\V=79,730.12m^3

this is the volume of the total sphere, thus the volume of a hemisphere is:

\frac{V}{2}=\frac{79,730.12m^3}{2}\\  =39,865.06m^3

rounding to the nearest tenth:

39,865.1m^3

Leya [2.2K]3 years ago
7 0

Answer:ggrrrraaakjjjjrt

Step-by-step explanation:

bhdhgdsdxvgvbc vdgc

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