In this lesson:
By the end of this lesson, you should be able to:
A box's volume is base area times height. This tank's base is a circle. Same idea?
Each disc has area . Stack of them, and the volume is .
A water tank has radius 5 ft and height 12 ft:
A pool has diameter 16 ft and depth 4 ft. First, .
A container holds cm³ with height 20 cm. Find .
Find the volume of a cylinder with radius 3 cm and height 7 cm.
Leave your answer in terms of . Try it before advancing.
A cone has the same circular base and the same height as a cylinder.
How much of the cylinder's volume does it hold? Make a guess.
It takes exactly three cone-fuls to fill the cylinder. So .
A cone has radius 5 cm and height 12 cm:
An ice-cream cone has diameter 6 cm and height 13 cm. First .
The cone is one-third of the cylinder only when they share the same base and height.
With different dimensions, you must compute each volume separately.
Cone: , . Cylinder: , .
A cone has volume ft³ and height 18 ft.
Set up and solve for . No template — work it out.
The formula uses the radius — halve the diameter first Don't drop the one-third — three cones fill one cylinder
✓ Cylinder: — a circle lifted to a height ✓ Cone: — one-third of the matching cylinder One-third holds only with the same base and height
Next: the sphere — a shape with no flat base at all.