What is the volume of a hemisphere with a radius of 5.7 m, rounded to the nearest tenth of a cubic meter?

387.9 m

Step-by-step explanation:

Volume of a Sphere:

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

V=

3

4

​

πr

3

\text{radius} = 5.7

radius=5.7

meters

\text{Plug in:}

Plug in:

\frac{4}{3}\pi (5.7)^3

3

4

​

π(5.7)

3

775.734624395

775.734624395

Use calculator

\text{Volume of Hemisphere HALF of Volume of Sphere:}

Volume of Hemisphere HALF of Volume of Sphere:

\frac{775.734624395}{2}

2

775.734624395

​

Divide volume by 2

387.867312198

387.867312198

\approx 387.9\text{ m}^3

≈387.9 m

3

m∠a is 90°

m∠b is 40°