Question

An oil storage tank has the shape as shown above, obtained by revolving the curve y=9625x4 y = 9 625 x 4 fromx=0tox=5 about the y-axis, where x and y are measured in feet. Oil flows into the tank at the constant rate of 8 cubic feet per minute. Find the volume of the tank. Indicate units of measure.

Answer 1

= 471.239 cubic feet

Step-by-step explanation:

Given the above question and attached drawing

Hence, to find the total Volume of the tank, represented as (V)

= 9∫0 [ 4 √ 625÷ 9]² * dy = 150 π ≈ 471.239 cubic feet

OR

Volume = 2 π 5∫0 x * [9 - 9÷625x⁴] * dx = 471.239 cubic feet.

Therefore the total volume of the oil tank is 471.239, while the units of measure is in Cubic feet.