Volumes around the house
| This wine glass looks pretty much spherical in shape.
The diameter is about 10 cm. If I fill it half-full, how much does it hold?
D=10cm -> r=5cm -> Vsphere=4/3 pi r^3 -> 1/2V is 2/3 pi r^3 is about 262cc. How many such glasses can I pour out of a standard 750 ml bottle of wine?
a little less than 3.
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| This glass is 15cm tall, the diameter of the bottom is 6cm and the diameter at the top is 9cm.
How much water can it hold? You can draw this diagram:
pi x (9/2)^2 x 1/3 45 = ~954 cc
pi x (6/2)^2 x 1/3 30 = ~283 cc
glass volume is 954-283 = 671 cc ~= 24 floz
One fluid ounce is about 28cc. Convert the volume to floz. | 
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| The oat meal box is 24cm tall and the diameter is 13cm.
What is the volume?
pi x (13/2)^2 x 24 ~= 490 cc What is the volume of the biggest sphere that fits inside?
4/3 pi r^3, where r=6.5cm -> ~1150 cc | 
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| This box is 18x14x8cm.
What is the volume? what is the volume of the biggest cylinder that would fit inside? What is the volume of the biggest rectangular pyramid that would fit inside? What is the volume of the biggest cone that would fit inside? | 
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