Question

A cricket stump is in the shape of a cylinder surmounted by a cone. The diameter and the total height of the stump are 10 cm and 80 cm respectively. If the height of the conical part is 12 cm, then find its total surface area.

Answer 1

Answer:

Step-by-step explanation:

We first get the height of the cylinder part.

The total height = 80 cm

The height of the cone = 12 cm

Height of the cylinder = 80 - 12 = 68cm

1) Surface area of the cylinder.

Note : the cylinder is not closed.

Take pie = 3.142

Surface area = 3.142 × 10/2 × 10/2 + 3.142 × 10 × 68 = 2215.11

= 4587.32 square centimeters.

2) Surface area of the conical part.

Note : The cone is open.

We therefore need to get the curved surface area.

The curved surface area is :

= 3.142 × 12 × 10 =377.04

Total Surface area = 377.04 + 2215.11

= 2592.15

= 2592.15 square centimeters.