Friday

July 25, 2014

July 25, 2014

Posted by **andy** on Thursday, July 18, 2013 at 12:14pm.

- calculus -
**Steve**, Thursday, July 18, 2013 at 12:36pmwhen the water depth is a, the volume is

v = ∫[0,a] π x^2 dy

= ∫[0,a] πy dy

= π/2 a^2

dv/dt = πa da/dt

when v=8π, a=4, so since dv/dt=2π,

2π = π(4) da/dt

da/dt = 1/2

1+2=3

**Related Questions**

calculus - A 3-dimensional structure is obtained from rotating the parabola y=x^...

math, calculus - A 3-dimensional structure is obtained from rotating the ...

Calculus - The volume of the 3-dimensional structure formed by rotating the ...

Calculus - The volume of the 3-dimensional structure formed by rotating the ...

calculus - The volume of the 3-dimensional structure formed by rotating the ...

calculus - The volume of the 3-dimensional structure formed by rotating the ...

calculus - he volume of the solid obtained by rotating the region bounded by x=(...

Calculus - Let R be the region bounded by y=−3(x−1)(x−3) and ...

Calculus - 1. Find the volume formed by rotating the region enclosed by x=5y and...

Calculus I don't understand - Find the volume of the solid obtained by rotating ...