Integration Volume: Filling a Garden Pot to 45 cm Depth

[thereddevils]

Homework Statement

A mathematical model for a large garden pot is obtained by rotating through 4 right angles about the y-axis the part of the curve y=0.1x^2 which is between x=10 and x=25 and then adding a flat base . Units are in cm . Garden compost is sold in litres . Find the number of litres required to fill the pot to a depth of 45 cm . (Ignore thickness of pot)

Homework Equations

The Attempt at a Solution

Fill up to the depth of 45 cm so i have to take the limits from 10 to 55.

so V=\pi \int^{55}_{10} 10 y dy

=pi[5(55)^2-5(10)^2]

=14625 pi cm^3

=15 pi litres

Am i correct ?

 

[tiny-tim]

Fill up to the depth of 45 cm so i have to take the limits from 10 to 55.

so V=\pi \int^{55}_{10} 10 y dy

=pi[5(55)^2-5(10)^2]

=14625 pi cm^3

=15 pi litres

Am i correct ?

Looks good!

(though I wouldn't leave the π in)

 

[thereddevils]

Looks good!

(though I wouldn't leave the π in)

thanks !