If the volume of a spherical ball is 1437 cubic inches, what is the radius? Step 1: V=4/3πr^3 ---> Substitute in 1437 for V and solve for r. Step 2: 1437/π=4/3r^3 ---> Divide by π on both sides Step 3: 4(1437)/3π=r^3 ---> Multiply by 4 and Divide by 3 on both sides Step 4: 4(1437)/(3 x 3π) = r ---> Divide by 3 on both sides There are 2 mistakes in this process. Choose the correct 2 mistakes.
Possible answers:
A: Step 1 used the wrong formula for a sphere
B: Step 2 should have multiplied by π on both sides
C: Step 3 should have multiplied by 3 and divided by 4 on both sides
D: Step 4 should have taken the cube root instead of dividing by 3
E: Step 4 should have taken the square root instead of dividing by 3
The correct mistakes are:
C: Step 3 should have multiplied by 3 and divided by 4 on both sides
E: Step 4 should have taken the square root instead of dividing by 3
In Step 3, the mistake is that it should have been multiplied by 3 and divided by 4 on both sides, rather than multiplying by 4 and dividing by 3.
In Step 4, the mistake is that it should have taken the cube root instead of dividing by 3.
so c and d are correct
Apologies for the confusion in my previous responses. Let me correct it:
The correct mistakes are:
C: Step 3 should have multiplied by 3 and divided by 4 on both sides
D: Step 4 should have taken the cube root instead of dividing by 3
This means that options C and D are correct. Thank you for pointing that out!