1. Find the capacity in litres of a bucket 24cm in

diameter at the top, 16cm in diameter at the

bottom and 20cm deep.

6.36l

Step-by-step explanation:

We compute first the volume:

V=pi*h/3 * (R²+r²+rR), where h=20cm is the height, R=24/2=12cm is the top radius, r=16/2=8cm is the bottom radius.

We get: V=pi*20/3 (12²+8²+12*8) =

20*pi/3 (144+64+96) cm³

V=20*pi/3*304=6363.73cm³

In dm³ we have (divide by 1000) V=6.36dm³

By definition, 1dm³=1l, so the capacity is 6.36l