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Volume of Pyramids and Cones
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Volume of Pyramids and Cones
We will be looking at finding the Volume of Pyramids and Cones. We will also use the volume to find the height in an example.
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Volume of Pyramids and Cones
Volume of a Pyramid/Cone This will be the form you are usually given on exams! π΄πππ ππ π΅ππ πΓπ»πππβπ‘ 3 1 3 ππππ ππ πππ πΓβπππβπ‘ Height Height Base Base Volume of a pyramid demonstration - thanks to mathematicsonline!
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Volume of Pyramids and Cones
Volume of a Pyramid/Cone ππππ’ππ= π΄πππ ππ π΅ππ πΓπ»πππβπ‘ 3 Sub in values ππππ’ππ= πΓ 3 2 Γ8 3 8cm Calculate 3cm ππππ’ππ=75.4π π 3 (24π)
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Volume of Pyramids and Cones
Volume of a Pyramid/Cone ππππ’ππ= π΄πππ ππ π΅ππ πΓπ»πππβπ‘ 3 Sub in values 5m ππππ’ππ= 4Γ3.5Γ5 3 4m Calculate ππππ’ππ=23.3π π 3 3.5m
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Volume of Pyramids and Cones
The Great Pyramid of Giza is a square based pyramid with a height of 480ft. The side length of the base is 755ft. Calculate its Volumeβ¦ ππππ’ππ= π΄πππ ππ π΅ππ πΓπ»πππβπ‘ 3 Sub in values ππππ’ππ= 755Γ755Γ480 3 480ft Calculate ππππ’ππ=91,204,000 π π.ππ‘ 755ft 755ft
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Volume of Pyramids and Cones
The Volume of the Cone below is 150cm3. What is its height? ππππ’ππ= π΄πππ ππ π΅ππ πΓπ»πππβπ‘ 3 Sub in values 150= πΓ 6 2 Γβ 3 Multiply by 3 450=πΓ 6 2 Γβ ? Group terms on the right side 450=36πβ Divide by 36Ο 3.98=β 6cm BE CAREFUL on the last step β typing β450 Γ· 36Οβ on some calculators will cause it to do β450 Γ· 36 x Οβ rather than grouping the 36Ο as one term!
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Summary We viewed how to find the Volume of a Pyramid or Cone.
We looked at a question in reverse, to find the height.
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