Spherical Trigonometry - UCLA Mathematics
the center of the sphere Since each side of a spherical triangle is contained in a central plane, the projection of each side onto a tangent plane is a line We will also assume the radius of the sphere is 1 Thus, the length of an arc of a great circle, is its angle Figure 1: Central Plane of a Unit Sphere Containing the Side α 1
153 Volumes of Spheres - Big Ideas Learning
Volume of a Sphere Words The volume V of a sphere is the product of 4 — 3 π and the cube of the radius of the sphere Algebra V = 4 — 3 π r3 radius, r Cube of radius of sphere 4 cm r Volume â 288 ,in 3 EXAMPLE 2 Finding the Radius of a Sphere Find the radius of the sphere V = 4 — 3 πr 3 Write formula 288π= 4 — 3 π r 3 Substitute
Distributing points on the sphere
Distributing points on the sphere: Partitions, separation, quadrature and energy Paul Leopardi Thesis submitted in fulfilment of requirements for Doctor of Philosophy in Mathematics at the University of New South Wales 12 November 2006 With corrections, 18 April 2007 Supervisors: Professor Ian Sloan, Associate Professor Rob Womersley
Volume - Sphere and Hemisphere Integers: S1
8) The diameter of a sphere is 8 feet Find the volume of the sphere Round your answer to two decimal places (use = 3 14) 7) Determine the volume of a hemisphere whose radius is 21 inches (use = 3 14) Volume = 1) Volume = 2) Volume = 3) Volume = 4) Volume = 5) Volume = 6) A) Find the volume of each sphere and hemisphere Round your
Volume - Spheres Integers: ES1 - Math Worksheets 4 Kids
8) Find the volume of a sphere whose radius is 23 feet Round your answer to two decimal places (use = 3 14) Volume = 1) Volume = 2) Volume = 3) Volume = 4) radius = 7 in Volume = 5) radius = 2 yd Volume = 6) radius = 15 ft Volume = 7) radius = 18 in A) Find the volume of each sphere Round your answer to two decimal places (use = 3 14
Geodesic Domes - Math circle
A sphere is the mathematical object that contains the maximum volume compared to its surface area, so if a structure of large volume is to be constructed for minimum cost, it makes sense to look at structures whose shape approaches a sphere But most construction materials come as at or straight pieces, so forming the
V9 Surface Integrals
2 Flux through a cylinder and sphere We now show how to calculate the flux integral, beginning with two surfaces where n and dS are easy to calculate — the cylinder and the sphere Example 1 Find the flux of F = zi +xj +yk outward through the portion of the cylinder x2 +y2 = a2 in the first octant and below the plane z = h Solution
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Printable Worksheets @ www.mathworksheets4kids.com
Name :
8) The diameter of a sphere is 8 feet. Find the volume of the sphere. Round your answer to
two decimal places. (use π = 3.14)7) Determine the volume of a hemisphere whose radius is 21 inches. (use π = 3.14)
Volume =
1)Volume =2)
Volume =3)
Volume =
4)Volume =5)
Volume =6)
A) Find the volume of each sphere and hemisphere. Round your answer to two decimal places. (use π = 3.14) 19 in 13 yd 24 ft2 in 16 ft
Integers: S1Volume - Sphere and Hemisphere
5 yd Printable Worksheets @ www.mathworksheets4kids.comName :Answer key
8) The diameter of a sphere is 8 feet. Find the volume of the sphere. Round your answer to
two decimal places. (use π = 3.14)7) Determine the volume of a hemisphere whose radius is 21 inches. (use π = 3.14)
267.95 cubic feet19,386.36 cubic inches
Volume =
1)Volume =2)
Volume =3)
2.09 in³
17,148.59 ft³
Volume =
4)28,938.24 ft³
32.71 yd³
Volume =
5)9,198.11 yd³
3,589.54 in³
Volume =
6) A) Find the volume of each sphere and hemisphere. Round your answer to two decimal places. (use π = 3.14) 19 in 13 yd 24 ft2 in 16 ft