No, he did not use the radius measure in the formula.
Step-by-step explanation:
Step 1:
The volume of a cone is determined by multiplying with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.
[tex]72 \pi = \frac{1}{3} \pi (6^{2} )h.[/tex] Here the value of the radius is substituted in the formula but Mario substituted the diameter. So he was not correct.
Step 2:
The diameter of the cone is 12 mm, so its radius is 6 mm and the height is taken as h.
The volume of the cone is given as follows
The volume of the cone;
[tex]72 \pi = \frac{1}{3} \pi (6^{2} )h.[/tex]
1. [tex]72 \pi = \frac{1}{3} \pi (36} )h.[/tex]
2. [tex]72 = 12 h.[/tex]
3. [tex]6 =h.[/tex]
This should have been how Mario solved the problem.
Answer:
Mario says he found the height of a cone that has a volume of 72 cubic millimeters and a diameter of 12 millimeters.
72π = 1
3
π(12²)h
1. 72π = 1
3
π(144)h
2. 72π = 48π(h)
3. 1.5 = h
Analyze Mario’s work. Is he correct? If not, what was his mistake?
Yes, he is correct.
No, he did not correctly square 12 on the left side.
No, he did not use the radius measure in the formula.
No, he did not correctly undo the multiplication on the right side.
Step-by-step explanation:
No, he did not use the radius measure in the formula.
C.
IS THE ANSWER
