# Solve for m v=1/3*3.14*(3m^2)*(12m) v=13⋅3.14⋅(3m2)⋅(12m)
Rewrite the equation as 13⋅3.14⋅(3m2)⋅(12m)=v.
13⋅3.14⋅(3m2)⋅(12m)=v
Simplify.
Combine 13 and 3.14.
3.143⋅(3m2)⋅(12m)=v
Divide 3.14 by 3.
1.046‾⋅(3m2)⋅(12m)=v
Multiply 3 by 1.046‾.
3.14⋅m2⋅(12m)=v
Multiply 12 by 3.14.
37.68⋅m2⋅m=v
Raise m to the power of 1.
37.68⋅(m1m2)=v
Use the power rule aman=am+n to combine exponents.
37.68⋅m1+2=v
37.68⋅m3=v
37.68⋅m3=v
Divide each term by 37.68 and simplify.
Divide each term in 37.68⋅m3=v by 37.68.
37.68⋅m337.68=v37.68
Cancel the common factor of 37.68.
m3=v37.68
Simplify v37.68.
Multiply by 1.
m3=1v37.68
Factor 37.68 out of 37.68.
m3=1v37.68(1)
Separate fractions.
m3=137.68⋅v1
Divide 1 by 37.68.
m3=0.02653927v1
Divide v by 1.
m3=0.02653927v
m3=0.02653927v
m3=0.02653927v
Take the cube root of both sides of the equation to eliminate the exponent on the left side.
m=0.02653927v3
Solve for m v=1/3*3.14*(3m^2)*(12m)

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