Question

Choose the correct answer of the following question:

The radii of the circular ends of a bucket of height 40 cm are 24 cm and 15 cm. The slant height (in cm) of the bucket is

Answer 1

We have,

Height of the bucket, h = 40 cm

Radius of the upper end, R = 24 cm and 

Radius of the lower end , r = 15 cm

Now,

The slant height,`"l" = sqrt(("R"- 15)^2 + "h"^2)`

`=sqrt((24-15)^2 + 40^2)`

`=sqrt(9^2 + 40^2)`

`=sqrt(81+1600)`

`=sqrt(1681)`

=41 cm

Hence, the correct answer is option (a).