Question

A solid is in form of cylinder with hemispherical ends. the total height of the solid is 20cm and the diameter of the cylinder is 7cm.Find the total volume of the solid

Answer 1

Answer:

680.17 cm³

Step-by-step explanation:

Note :

1) The radius of the cylinder equals to the radius of the hemisphere.

2) The total height of the solid = height of the cylinder + the two radius of the hemispheres.

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

volume of solid = vol. of cylinder + vol. of hemisphere + vol. of hemisphere

= πr2h + 2 x 2/3 x πr3

= 22/7 x 3.5 x 3.5 x 13 + 2 x 2/3 x 22/7 x 3.5 x 3.5 x 3.5

= 500.5 + 179.66

= 680.16 cm³

Hence the volume of the solid is 680.16 cm