19. Example 2
Find the volume of the cylinder to the nearest hundredth.
V = πr2
h
20. Example 2
Find the volume of the cylinder to the nearest hundredth.
V = πr2
h
V = π(8)2
(22)
21. Example 2
Find the volume of the cylinder to the nearest hundredth.
V = πr2
h
V = π(8)2
(22)
V = 1408π
22. Example 2
Find the volume of the cylinder to the nearest hundredth.
V = πr2
h
V = π(8)2
(22)
V = 1408π
V ≈ 4423.36 mm3
23. Example 3
Find the volume of the cylinder to the nearest hundredth.
For an oblique prism or cylinder, it’s the same process! Make
sure you use the height of the prism/cylinder (perpendicular
distance between bases)!
24. Example 3
Find the volume of the cylinder to the nearest hundredth.
V = πr2
h
For an oblique prism or cylinder, it’s the same process! Make
sure you use the height of the prism/cylinder (perpendicular
distance between bases)!
25. Example 3
Find the volume of the cylinder to the nearest hundredth.
V = πr2
h
V = π(8)2
(22)
For an oblique prism or cylinder, it’s the same process! Make
sure you use the height of the prism/cylinder (perpendicular
distance between bases)!
26. Example 3
Find the volume of the cylinder to the nearest hundredth.
V = πr2
h
V = π(8)2
(22)
V = 1408π
For an oblique prism or cylinder, it’s the same process! Make
sure you use the height of the prism/cylinder (perpendicular
distance between bases)!
27. Example 3
Find the volume of the cylinder to the nearest hundredth.
V = πr2
h
V = π(8)2
(22)
V = 1408π
V ≈ 4423.36 mm3
For an oblique prism or cylinder, it’s the same process! Make
sure you use the height of the prism/cylinder (perpendicular
distance between bases)!
31. Example 4
Find the volume of the prism.
V = Bh
V = (13)(10)(17)
V = 2210 in3
32. Example 5
Prisms A and B have the same width and length, but different
heights. If the volume of prism B is 128 cubic inches greater
than the volume of prism A, what is the length of each prism?
Prism A Prism B
33. Example 5
Prisms A and B have the same width and length, but different
heights. If the volume of prism B is 128 cubic inches greater
than the volume of prism A, what is the length of each prism?
Prism A Prism B
Prism A
34. Example 5
Prisms A and B have the same width and length, but different
heights. If the volume of prism B is 128 cubic inches greater
than the volume of prism A, what is the length of each prism?
V = (4)(x)(5)
Prism A Prism B
Prism A
35. Example 5
Prisms A and B have the same width and length, but different
heights. If the volume of prism B is 128 cubic inches greater
than the volume of prism A, what is the length of each prism?
V = (4)(x)(5)
Prism A Prism B
Prism A
V = 20x
36. Example 5
Prisms A and B have the same width and length, but different
heights. If the volume of prism B is 128 cubic inches greater
than the volume of prism A, what is the length of each prism?
V = (4)(x)(5)
Prism A Prism B
Prism A
V = 20x
Prism B
37. Example 5
Prisms A and B have the same width and length, but different
heights. If the volume of prism B is 128 cubic inches greater
than the volume of prism A, what is the length of each prism?
V = (4)(x)(5)
Prism A Prism B
Prism A
V = 20x
V = (4)(x)(9)
Prism B
38. Example 5
Prisms A and B have the same width and length, but different
heights. If the volume of prism B is 128 cubic inches greater
than the volume of prism A, what is the length of each prism?
V = (4)(x)(5)
Prism A Prism B
Prism A
V = 20x
V = (4)(x)(9)
Prism B
V = 36x
39. Example 5
Prisms A and B have the same width and length, but different
heights. If the volume of prism B is 128 cubic inches greater
than the volume of prism A, what is the length of each prism?
Prism A Prism B
40. Example 5
Prisms A and B have the same width and length, but different
heights. If the volume of prism B is 128 cubic inches greater
than the volume of prism A, what is the length of each prism?
Prism B = Prism A+128
Prism A Prism B
41. Example 5
Prisms A and B have the same width and length, but different
heights. If the volume of prism B is 128 cubic inches greater
than the volume of prism A, what is the length of each prism?
Prism B = Prism A+128
Prism A Prism B
36x = 20x +128
42. Example 5
Prisms A and B have the same width and length, but different
heights. If the volume of prism B is 128 cubic inches greater
than the volume of prism A, what is the length of each prism?
Prism B = Prism A+128
Prism A Prism B
36x = 20x +128
−20x−20x
43. Example 5
Prisms A and B have the same width and length, but different
heights. If the volume of prism B is 128 cubic inches greater
than the volume of prism A, what is the length of each prism?
Prism B = Prism A+128
Prism A Prism B
36x = 20x +128
16x = 128
−20x−20x
44. Example 5
Prisms A and B have the same width and length, but different
heights. If the volume of prism B is 128 cubic inches greater
than the volume of prism A, what is the length of each prism?
Prism B = Prism A+128
Prism A Prism B
36x = 20x +128
16x = 128
−20x−20x
16 16
45. Example 5
Prisms A and B have the same width and length, but different
heights. If the volume of prism B is 128 cubic inches greater
than the volume of prism A, what is the length of each prism?
Prism B = Prism A+128
Prism A Prism B
36x = 20x +128
16x = 128
−20x−20x
16 16
x = 8
46. Example 5
Prisms A and B have the same width and length, but different
heights. If the volume of prism B is 128 cubic inches greater
than the volume of prism A, what is the length of each prism?
Prism B = Prism A+128
Prism A Prism B
36x = 20x +128
16x = 128
−20x−20x
16 16
x = 8
The length of each prism is 8 inches.