Question

The radii of circular ends of a bucket of height 24 cm are 15 cm and 5 cm. Find the area of it curved surface.

Answer 1

Answer:

1634 cm²

Step-by-step explanation:

Find the slanted height:

(15 - 5)² + (24)² = c²

c²  = 676

c = 26 cm

The length of the slanted height is 26 cm

Find the curved surface area:

Curved surface area = πl (R2 + R1)

Curved Surface Area = π(26)(15 + 5) = 1634 cm²

The curved surface area is 1634 cm²

Answer:1634 cm²

Answer 2

Given:

Height = 24 cm

Radius 1 = 5 cm

Radius 2 = 15 cm

To find:

Curved surface area.

Solution:

By formula,

Curved surface area = π * Length * ( Radius 1 + Radius 2 )

Here,

Length = √ ( Height + (  Radius 2 - Radius 1 )^2 )

Substituting,

√ ( 24 + ( 15 - 5 )^2 )

Length = 11 cm


Hence,

3.14 * 11 * ( 15 + 5 )

Curved surface area = 690 sq.cm