What is the volume of a hemisphere with a radius of 2.6 m, rounded to the nearest tenth of a cubic meter?

1 answer

The volume of a hemisphere is given by the formula V = (2/3)πr^3, where r is the radius.

Plugging in the given radius of 2.6 m:
V = (2/3)π(2.6)^3
V ≈ (2/3)π(17.576)
V ≈ (2/3)π(17.576)
V ≈ (35.152/3)π
V ≈ 11.717(3.14159)
V ≈ 36.836

Therefore, the volume of the hemisphere rounded to the nearest tenth of a cubic meter is approximately 36.8 cubic meters.