Question

The slant height of a bucket is 26 cm, The diameter of upper and lower circular ends are 36 cm and 16 cm. Find the height of the bucket.

Answer 1

Answer: The height of bucket is 24 cm

Step-by-step explanation:

Given : Slant height;l = 26 cm

upper circular diameter = 36 cm

upper circular radius:R= 18 cm

Lower circular diameter = 16 cm

Lower circular radius; r= 8 cm

Let height of bucket = h

Now as we know

$l=\sqrt{h^2+(R-r)^2} \\\\\Rightarrow 26= \sqrt{h^2+(18-8)^2} \\\\\Rightarrow 26^2= h^2+10^2\\\\\Rightarrow 676-100=h^2\\\\\Rightarrow h=\sqrt{576} =24cm$

Hence, the height of bucket is 24 cm

Answer 2

Here u go

Hope it helps u.