Question Number 89736 by cindiaulia last updated on 19/Apr/20
Commented by jagoll last updated on 19/Apr/20
![vol = π [ ∫_0 ^1 (x^2 )^2 dx + ∫_1 ^4 ((√x))^2 dx ] = π [ (1/5) + ((15)/2) ] = ((77π)/(10))](https://www.tinkutara.com/question/Q89739.png)
$$\mathrm{vol}\:=\:\pi\:\left[\:\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\left(\mathrm{x}^{\mathrm{2}} \right)^{\mathrm{2}} \:\mathrm{dx}\:+\:\underset{\mathrm{1}} {\overset{\mathrm{4}} {\int}}\:\left(\sqrt{\mathrm{x}}\right)^{\mathrm{2}} \:\mathrm{dx}\:\right] \\ $$$$=\:\pi\:\left[\:\frac{\mathrm{1}}{\mathrm{5}}\:+\:\frac{\mathrm{15}}{\mathrm{2}}\:\right]\:=\:\frac{\mathrm{77}\pi}{\mathrm{10}}\: \\ $$