Question

Let R be the region bounded by $y = 7.5\sqrt{x}$, $x = 4.5$ and the x axis. R appears below. Find the volume of the solid S obtained by rotating R about the line $y = 20$. S appears below. $\text{Volume} = \int_0^{4.5} f(x)dx$ where $f(x) = $ $\text{Volume} = $

          Let R be the region bounded by $y = 7.5\sqrt{x}$, $x = 4.5$ and the x axis. R appears below.
Find the volume of the solid S obtained by rotating R about the line $y = 20$. S appears below.
$\text{Volume} = \int_0^{4.5} f(x)dx$ where
$f(x) = $
$\text{Volume} = $

Let R be the region bounded by y = 7.5√(x), x = 4.5 and the x axis. R appears below.
Find the volume of the solid S obtained by rotating R about the line y = 20. S appears below.
Volume = ∫0^4.5 f(x)dx where
f(x) =
Volume =

Added by Alicia F.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert David Nguyen

Step 1

5x - 4.5 intersects the x-axis. To do this, we set y = 0 and solve for x: 0 = 7.5x - 4.5 7.5x = 4.5 x = 4.5/7.5 x = 0.6 So, the line intersects the x-axis at x = 0.6. Show more…

Show all steps

Thanks for your feedback!

Let R be the region bounded by y = 7.5x - 4.5 and the x-axis. R appears below: 14 12 10 Find the volume of the solid S obtained by rotating R about the line y = 20. S appears below: Volume = âˆ«f(z) dz where x = Volume.