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Paul and Manuel disagree on how the volumes of cone W and square pyramid X are related. Examine their arguments. Which statement explains whose argument is correct and why?Paul ManuelThe 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(82) = 200.96 cm2. The volume of cone W is (area of base)(h) = one third (200.96)(5) = 334.93 cm3. The volume of square pyramid X is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. The volume of square pyramid X is three times 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(82) = 200.96 cm2. The volume of cone W is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. The volume of square pyramid X is (area of base)(h) = (200.96)(5) = 1,004.8 cm3.Paul's argument is correct; Manuel used the incorrect formula to find the volume of square pyramid X.Paul's argument is correct; Manuel used the incorrect base area to find the volume of square pyramid X.Manuel's argument is correct; Paul used the incorrect formula to find the volume of square pyramid X.Manuel's argument is correct; Paul used the incorrect base area to find the volume of square pyramid X.

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Answer:B

Step-by-step explanation:

Paul's argument is correct, Manuel used the wrong formula to find the volume of square pyramid X.

What is the volume of a cone?

From the question, we are given two shapes: Cone W and Square Pyramid,

Cone W: Radius = 8cm, Height = 5cm

The Volume of a Cone = 1/3 πr²h

Where π = 3.14

The Volume of Cone X = 1/3 × 3.14 × 8² × 5

= 334.93cm³

For Square pyramid X

The Volume = 1/3 × Base Area × Height

The Base Area of Cone W = The Base Area of square pyramid X = πr²

Where π = 3.14

The Base area = 3.14 × 8² = 200.96cm²

The Height of Square pyramid X = Height of Cone W = 5cm

The Volume of Square pyramid = 1/3 ×200.96cm² × 5cm

= 334.93cm³

Option a) "Paul's argument is correct, Manuel used the wrong formula to find the volume of square pyramid X" is the correct option.

The reason why is because the correct formula for volume of a square pyramid = 1/3 × Base area × Height

This was the formula Paul used.

So, Option a, is the correct answer.

Learn more about the concept;

https://brainly.com/question/17087156

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