Volume of Cylinders Cones and Spheres 8 G

Volume of Cylinders, Cones and Spheres 8. G. 9

What is VOLUME? ¤The measure of the interior of a space (threedimensional) figure. ¤A unit for measuring volume is the cubic unit rd (to the 3 power. ) ¤Simply the amount of space inside a 3 D figure.

Mathematical Examples of Cylinders, Cones, and Spheres Cone Cylinder Sphere

Real World Examples of Cylinders, Cones, and Spheres

Exact and Approximate Answers ¤Exact answers are left in terms of pi. ¤Answer includes the pi symbol. ¤Approximate ¤Answer answers use 3. 14 to multiply. does not include the pi symbol. Exact App V = 325π ft³ V = 125. 41 in³

Finding the Volume of a Cylinder Exact 2 in 4 in App V = πr²h V = π (2 in)² (4 in) V = π (4 in²) (4 in) V = π (16 in³) V = 16π in³ V = 16(3. 14) in³ V = 50. 24 in³

¤What Bell Ringer 3 D figures are used to make the figure below?

Finding the Volume of a Cone App 5 in 6 in Exact V = 1/3 πr²h V = 1/3 π (5 in)² (6 in) V = 1/3 π (25 in²) (6 in) V = 1/3 π (150 in³) V = 50π in³ V = 50(3. 14) in³ V = 157 in³

Bell Ringer Directions: Give exact and approximate answers. ¤Jill wants to fill a Campbell’s soup can with water but doesn’t know how much water she needs. If the cylindrical can has a radius of 1 inch and a height of 4 inches, what is the volume? ¤Jacob wants to put strawberry ice cream in his ice cream cone and doesn’t want to fill it above the rim. How much ice cream will be in the cone if it has a diameter of 4 inches and a height of 6 inches?

¤ Campbell’s Bell Ringer Answers Soup Can: Radius = 1 inch Height = 4 inches V = πr²h V = π (1 in)² (4 in) V = π (1 in²) (4 in) V = π (4 in³) V = 4π in³ V = 4(3. 14) in³ V = 12. 56 in³ ¤ Ice Cream Cone: Diameter = 4 inches Height = 6 inches V = 1/3 πr²h V = 1/3 π (2 in)² (6 in) V = 1/3 π (4 in²) (6 in) V = 1/3 π (24 in³) V = 8π in³ V = 8(3. 14) in³ V = 25. 12 in³

Finding the Volume of a Sphere in App 24 Exact V = 4/3 πr³ V = 4/3 π (24 in)³ V = 4/3 π (13824 in³) V = 18432π in³ V = 18432(3. 14) in³ V = 57876. 48 in³