Volume of Boxlike Shapes: V = lwh

Example Find the volume 6m 4m 2m

Example You are about to begin work on a swimming pool in your yard. The first step is to have a hole dug that is 90 ft long, 60 ft wide and 6 ft deep. You will use a truck that can carry 10 cubic yards of dirt and charges $12 per load. How much will it cost you to have all the dirt hauled away?

Volume of a Pyramid: V = (1/3)Bh where B is the area of the base

Example Find the volume of a pyramid that is 4 ft tall with a 6ft by 6ft square base.

Example The Transamerica Tower in San Francisco is a pyramid with a square base. The pyramid is 256 m tall. The base is 52m by 52m. Find the volume of the building.

Volume of a Right Circular Cylinder: V =  r 2 h

Example Find the volume of a cylinder with a diameter of 8 inches and height 6 inches.

Example Finding the Volume of a Cylinder To find the volume of a cylinder with a diameter of 20 yards and a height of 9 yards, we need to first find its radius. Because the diameter is 20 yards, the radius is half this length, or 10 yards. V =  r 2 h =  (10yd) 2 (9yd) = 900  yd 3 = 2827yd 3

Volume of a Cone: V = (1/3)(  )r 2 h

Example Find the volume of a cone with radius 4m and height 6 inches.

Example An ice cream cone is 5 inches deep and has a radius of 1 inch. A spherical scoop of ice cream with radius 1 inch is placed in the cone. If it melts into the cone will it overflow? 5in 1in

Volume of a Sphere:V = (4/3)(  )r 3

Example A basketball has radius 4.5in. If the ball is filled with 350 cubic inches of air will it be full?

HW: p. 531/1-24,27,31,34