Cube
The length of a side = a = 2 cm
Volume = (2 cm) = 2 cm × 2 cm × 2 cm = 8 cm^{3}
Cylinder
The height is 8 inches and the radius is 2 inches.
Volume = π × r^{2} × h = 3.14 × (2 in)^{2} × 8 in = 3.14 × 4 × 8 in^{3}Volume = 3.14 × 32 in^{3} = 100.48 in^{3}
Rectangular solid or cuboid
The length is 6 cm, the width is 3 cm and the height is 5 cm.
Volume = l × w × h = 6 × 3 × 5 = 90 cm^{3}
Sphere
The radius = r = 20
Volume = (4 × π × r^{3})/3 = [4 × 3.14 × (20)^{3}]/3 = 3.14 × (20)^{3 }× 4
Volume = 3.14 × 8000 × 4 = 3.14 × 32000 = 100480
Cone
The radius is equal to 3 and the height is equal to 4.
Volume = (π × r^{2} × h)/3 = [3.14 × (3)^{2}× 4]/3 = 3.14 × 9^{ }× 4
Volume = 3.14 × 36 = 113.04
Pyramid
A pyramid has a height of 6 feet. If the base of a pyramid is a square with a length of 2 feet, find the volume.
Volume = (B × h)/3
B = area of base = 2 ft × 2 ft = 4 ft^{2}Volume = (4 × 6)/3 ft^{3 }= 24/3 ft^{3} = 8 ft^{3}
Ellipsoid
The radii of an ellipsoid are 1 cm, 2, cm, and 3 cm.
Volume = (4 × π × a × b × c)/3 = (4 × 3.14 × 1 × 2 × 3)/3
Volume = ( 3.14 × 4 × 6)/3 = ( 3.14 × 24)/3 = 81.64/3 = 25.12 cm^{3}
Hollow cylinder
The outer radius is 8, the internal radius is 6, and the height is 10.
Volume = π × h ( R^{2} - r^{2}) = π × 10 ( 8^{2} - 6^{2}) = π × 10 ( 64 - 36)
Volume = π × 10(28) = π × 280 = 879.2
Jul 03, 20 09:51 AM
factoring trinomials (ax^2 + bx + c ) when a is equal to 1 is the goal of this lesson.
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