Category Archives: Grade 10

Surface Area of a Sphere

Grade 10, Math 10, Uncategorized

Today in Math Honours 10, we experimented with a real test of the surface area of a sphere. My partner for this experiment was Alhan, and we took apart an orange to show that the formula for the surface area of an orange is 4 \pi r^2 .

We started by cutting our orange in half, and peeling it…

Next we traced the circumference of the oranges onto paper multiple times…

After that we carefully pulled the orange peels apart and placed them inside of the circles, one at a time, insuring that there was no white spaces and no overlapping.

Finally we came up with our formula 4 \pi r^2 .

Garibaldi Lake Task

Grade 10, Math 10

Image result for garibaldi lake

To estimate the volume of Garabaldi lake I’m going to multiply the average lake depth by the lake area.

119 m x 9940000

= 1 182 860 000  Metre’s Cubed or approximately 1 trillion litres.

The average lake depth and the lake area is based on https://en.wikipedia.org/wiki/Garibaldi_Lake

 

Approximately 1 trillion litres of water exist in Garibaldi Lake

The Barrier is 1,400 metres tall, so if the 1 trillion litres of water comes crashing down into Squamish.

The lava barrier is an unstable dam for this big lake. The potential energy is 200 times the energy released by the bomb on Hiroshima.

“If the barrier were to explode or fall apart in an earthquake, the wave that would be produced by all that water flowing out of Garibaldi Lake down into Squamish would be 120 metres high,”

-Steve Quane from Quest University

Who did a $12,000 study in July 2014, to map and assess the danger of Garibaldi Lake.

potential energy is the water behind the Barrier, and kinetic energy (motion) is what happens if the barrier faults, and all the water comes out.

http://www.michigandnr.com/publications/pdfs/IFR/manual/SMII%20Chapter12.pdf

http://www.squamishchief.com/news/garibaldi-lake-a-ticking-time-bomb-1.1753732