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Sagot :
To solve this question, we apply the formulas for the volume of a square pyramid and the cylinder, and verify if they are equal. Since the formulas yield different results, they are different and he is not correct.
Volume of a pyramid:
The volume of a pyramid, with base area [tex]A_b[/tex] and height h, is given by:
[tex]V = \frac{A_bh}{3}[/tex]
In a square pyramid, with edges e, we have that [tex]A_b = e^2[/tex], and then:
[tex]V = \frac{e^2h}{3}[/tex]
Volume of a cylinder:
The volume of a cylinder, with radius r and height h, is given by:
[tex]V = \pi r^2h[/tex]
Pyramid:
Edges of 12 and height of 10, which means that: [tex]e = 12, h = 10[/tex]. Thus
[tex]V_p = \frac{e^2h}{3} = \frac{12^2 \times 10}{3} = 480[/tex]
Cylinder:
Radius of 6.77, height of 10, so:
[tex]V_c = \pi r^2h = \pi(6.77)^2(10) = 1440[/tex]
Is he correct?
Since the volumes are different, he is not correct.
For a similar question, you can check https://brainly.com/question/21334693
Answer:
No, he made a mistake in solving for the volume of the cylinder.
Step-by-step explanation:
I'm taking the test. The reason this is correct is because Jude used the formula V=1/3 pi to the second power multiplied by the height. Which is not correct when solving for the volume of a cylinder. You don't use 1/3. Making the answer he made a mistake solving for the volume of a cylinder.
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