Volume of a Sphere Objective: To solve problems involving volumes of spheres and hemispheres

Volume of a Sphere Theorem V (sphere) = 4/3 Π r3 Theorem: Sphere Volume The volume of a sphere with radius r is V = ________. 4/3 Π r3 V (sphere) = 4/3 Π r3

Volume of a Hemisphere one-half 2/3 Π r3 A hemisphere is _________ a sphere, so V(hemisphere) = _______. one-half ALERT! 2/3 Π r3

Example: Finding Sphere Volume EXAMPLE A Find the volume of a sphere that has a radius of 6 inches. V (sphere) = 4/3 Π r3 V (sphere) = ____________

Example: Using Sphere Volume to Find the Radius EXAMPLE B Find the radius of a sphere that has a volume of 2304 Π cubic centimeters. V (sphere) = 4/3 Π r3 ______= ____________

Final Checks for Understanding: Mixed Review A plastic bowl is in the shape of a cylinder with a hemisphere cut out. The dimensions are shown. a. What is the volume of the cylinder? b. What is the volume of the hemisphere? c. What is the volume of plastic used to make the bowl?

Final Checks for Understanding: Mixed Review An ice cream cone is 9 cm deep (height) and 4 cm across the top (diameter). A single scoop of ice cream, 4 cm in diameter, is placed on the cone. If the ice cream melts into the cone, will it overflow?

Homework Assignment Sphere Volumes WS