(06.01 HC) Cone W has a radius of 6 cm and a height of 5 cm….
(06.01 HC) Cone W has a radius of 6 cm and a height of 5 cm. Square pyramid X has the same base area and height as cone W.Paul and Manuel disagree on the reason why the volumes of cone W and square pyramid X are related. Examine their arguments. Which statement explains whose argument is correct and why? Paul Manuel The volume of square pyramid X is equal to the volume of cone W. This can be proven by finding the base area and volume of cone W, along with the volume of square pyramid X. The base area of cone W is π(d) = π(12) = 37.68 cm2. The volume of cone W is (area of base)(h) = (37.68)(5) = 62.8 cm3. The volume of square pyramid X is (area of base)(h) = (37.68)(5) = 62.8 cm3. The volume of square pyramid X is equal to the volume of cone W. This can be proven by finding the base area and volume of cone W, along with the volume of square pyramid X. The base area of cone W is π(r2) = π(62) = 113.04 cm2. The volume of cone W is (area of base)(h) = (113.04)(5) = 188.4 cm3. The volume of square pyramid X is (area of base)(h) = (113.04)(5) = 188.4 cm3.
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