a close cylindrical tank has a capacity of 576.56 cu. m. what must the minimum surface area of the tank?

a. 412. 60 cu. m.
b 383. 40 cu. m.
c 516. 32 cu. m.
d 218. 60 cu. m.

Question

a close cylindrical tank has a capacity of 576.56 cu. m. what must the minimum surface area of the tank?

a. 412. 60 cu. m.
b 383. 40 cu. m.
c 516. 32 cu. m.
d 218. 60 cu. m.

anonymous · Answer

what class is this for? calculus?

anonymous · Answer

yup but not my homework @ differential calcu

anonymous · Answer

min/max problem where you have to create an equation for the SA with respect to one variable (ie height) and take derivative.

anonymous · Answer

you can solve radius or height in terms of the other because your given the constraint.
$$\large V=\pi r^2*h = 576.56$$

make a substitution in the equation for surface area and proceed

anonymous · Answer

383.40 ?

anonymous · Answer

i'm not sure, what's your equation for surface area with one variable?