Question

a solid in the form of a cylinder with hemisphere end . the total height of solid is 20cm and the diameter of cylinder is 7cm find the volume of solid . use 22/ 7​

Answer 1

Given :

• A solid in the form of a cylinder with hemisphere end .
• The total height of solid is 20cm and the diameter of cylinder is 7cm

To find :

• The volume of solid =?

Step-by-step explanation :

Radius of the cylinder = 7/2 = 3.5 cm

Height of the cylinder = 20 - (3.5 × 2) = 13 cm

Volume of a cylinder = pie × r² × h

= 22/7 × 3.5² × 13 = 500.5 cm³

The two hemispheres at the ends of the cylinder form a sphere.

Volume of a sphere = 4/3pie × r³

= 22/7 × 3.5³ × 4/3 = 179.67 cm³

The total volume of the solid

= 179.67 + 500.5 = 680.17 cm³

Answer 2

Given :

• A solid in the form of a cylinder with hemisphere end .
• The total height of solid is 20cm and the diameter of cylinder is 7cm

To find :

• The volume of solid =?

Step-by-step explanation :

Radius of the cylinder = 7/2 = 3.5 cm

Height of the cylinder = 20 - (3.5 × 2) = 13 cm

Volume of a cylinder = pie × r² × h

= 22/7 × 3.5² × 13 = 500.5 cm³

The two hemispheres at the ends of the cylinder form a sphere.

Volume of a sphere = 4/3pie × r³

= 22/7 × 3.5³ × 4/3 = 179.67 cm³

The total volume of the solid

= 179.67 + 500.5 = 680.17 cm³