A tangocola company wants to produce a new cylindrical tin as healthy protein drink which contain 300 cubic cm of protein drink. The cost of material used to make the sides of the container is ₹5 per square cm. While the cost of material used to make top and bottom of container is ₹ 10 per sq. meter. He wants to minimise the cost of container.

Give the answers of question:
At what value of r, cost can be minimised ?

Options

A. `r=(75/pi)^(1//3)`
B. `r=(pi/75)^(1//3)`
C. `r=(75/(pi^2))^(2//3)`
D. `r=(75 pi)^(1//3)`

Answer

A