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Spheres

April15

Lava2sH3 were amazed by the glass sculpture garden they visited in Taupo, New Zealand. Located at Lava Glass, one of the world’s premier glass blowing factories, this garden is a delightful collection of glass flowers, glass spheres and glass sculptures. It made us think again about the significance of the sphere as a mathematical shape in our architecture and surroundings. Here is a handy app that allows you to find the volume of any sphere – just plug in the radius:
sphereapp

 

 

 

 

LavaGlass1sThe Prime Minister of New Zealand, Mr John Key, opened this stunning glass garden on April 3rd, 2014. It is filled with an array of mathematical shapes that draw the visitor into an almost Alice-in-Wonderland world of swirls, twirls, curves and shapes.

The volume of a sphere is given by the formula Where r is the radius of the sphere.

This formula was worked out over two thousand years ago by the Greek philosopher and mathematician Archimedes. He realized that the volume of a sphere is exactly two thirds the volume of the smallest cylinder that can contain the sphere. Spheres are great fun for mathematicians and glass blowers as well!

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NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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