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

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Answer:


39,865.1m^3

Explanation:

a hemisphere is half a sphere.

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


V=(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=(4\pi (26.7m)^3)/(3) \\\\V=(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:


(V)/(2)=(79,730.12m^3)/(2)\\ =39,865.06m^3

rounding to the nearest tenth:


39,865.1m^3

User Matt Taylor
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