11.4 Volume of a Sphere

A ________________ is the locus of points in space that are a fixed distance from the center of the sphere. A _______________ connects the center of the sphere to any point on the sphere. What do we call half a sphere? A great circle divides a sphere into two____________________.

Find the volume of each sphere. Give your answers in terms of π.

1.

2. 3.

4. Find the volume of the hemisphere shown at right.

5. If the surface area of a sphere is 256 in2, find the radius and the volume of the sphere.

Volume formula a sphere is

6. Find the volume of the quarter-sphere shown at right.

7. If the volume of a sphere is 972 cm3, find the radius and the surface area of the sphere.

8. Find the total volume of the solid shown at right.

9. If the great circle of the hemisphere has a circumference of 6 in, find the volume of the solid at the right.

10. Margot is thirsty after a 5-km run for charity. The organizers offer the containers of water shown in the figure. Margot wants the one with the greater volume of water. Tell which container Margot should pick.

24 cm

11 cm

Diameter = 12 cm

60