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Posts tagged with archimedes

How to find the volume of a sphere

November9

Well, just how do we arrive at the formula for the volume of a sphere? We do know that any volume is measured in cubes of some sort and this is the same for a sphere. The formula (graphic from Wiki How) is: Perhaps we can trace this formula back to Archimedes, who was born […]

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Spheres

April15

H3 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 […]

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10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

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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