91Ó°ÊÓ

Find the volume of each sphere. Round to the nearest tenth. The diameter is 12.5 centimeters.

Find the volume of each sphere or hemisphere. Round to the nearest tenth. sphere: radius is \(7.62 \mathrm{m}\)

Graph the rectangular solid that contains the given point and the origin as vertices. Label the coordinates of each vertex. $$G(4,1,-3)$$

Find the volume of each sphere or hemisphere. Round to the nearest tenth. sphere: radius is \(\frac{\sqrt{3}}{2} \mathrm{cm}\)

Find the volume of each sphere or hemisphere. Round to the nearest tenth. hemisphere: radius is 8.4 yd

Graph the rectangular solid that contains the given point and the origin as vertices. Label the coordinates of each vertex. $$K(-2,-4,-4)$$

Determine the distance between each pair of points. Then determine the coordinates of the midpoint \(M\) of the segment joining the pair of points. $$P(-2,-5,8) \text { and } Q(3,-2,-1)$$

Suppose a paper cone is 4 inches tall and the diameter of the base is 3 inches. A spherical scoop of shaved ice with a diameter of 3 inches rests on the top of the cone. If all the ice melts into the cone, will the cone overflow? Explain. If not, what percent of the cone will be filled?

ARCHITECTURE The Reunion Tower is a distinguishing landmark in the Dallas, Texas, skyline. The geodesic dome is about 118 feet in diameter. Determine the surface area of the dome, assuming that it is a sphere.

The New England Aquarium in Boston, Massachusetts, has one of the world's largest cylindrical tanks. The Giant Ocean Tank holds approximately \(200,000\) gallons and is 23 feet deep. If it takes about \(7 \frac{1}{2}\) gallons of water to fill a cubic foot, what is the radius of the Giant Ocean Tank?