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 ______.

Options

• 41

• 43

• 49

• 51

Answer 1

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 41.

Explanation:

We have,

Height of the bucket, h = 40 cm,

Radius of the upper end, R = 24 cm and

Radius of the upper end, r = 15 cm

Now, 

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

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

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

`=sqrt(81 + 1600)`

`=sqrt(1681)`

= 41 cm