Question

A solid is in the form of a right circular cylinder with a hemisphere at one end and a cone at the other end . Their common diameter is 3.5cm and the height of the cylinder and conical portions are 10 cm and 6 cm respectively . Find the volume of the solid.(take value of pie as 3.14).

Answer 1

Given Common diameter of cylinder , hemisphere and cone = 3.5 cm , So
Radius of cylinder , hemisphere and cone = 1.75 cm

And
Height of cylinder = 10 cm
And
Height of cone = 6 cm
And
π = 3.14
And

Volume of solid = Volume of cylinder + Volume of hemisphere + Volume of cone

We know
Volume of cylinder = πr²h
And
Volume of hemisphere = 2πr³
And
Volume of cone = 1/3πr²h
SO,
Volume of solid = 3.14 × (1.75)2× 10 + 2× 3.14 × ( 1.75)33 + 3.14 × ( 1.75)2 ×63

Volume of solid = 3.14 × 3.0625× 10 + 2× 3.14 × 5.3593753 + 3.14 × 3.0625 ×63

Volume of solid = 96.1625 + 33.6568753 + 3.14 × 3.0625 × 2

Volume of solid = 96.1625 + 11.2189583 + 19.2325

Volume of solid = 126.6139583 cm³

Answer 2

Their common diameter is 3.5cm and the - 993602. ... a hemisphere at one end and a cone at the other end . ... (take value of pie as 3.14).