Question

A solid is in the form of a right circular cylinder mounted on a solid hemisphere of radius 14 cm.The radius of the base of the cylindrical part is 14cm and the vertical height of the complete solid is 28cm . find the volume of the solid

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The volume of the solid is 14373.33 centimeter cube.

Step-by-step explanation:

Given : A solid is in the form of a right circular cylinder mounted on a solid hemisphere of radius 14 cm.The radius of the base of the cylindrical part is 14cm and the vertical height of the complete solid is 28cm .

To find : The volume of the solid?

Solution :

Radius of cylindrical part = Radius of hemispherical part = 14 cm

Height of total solid = 28 cm ,

So height of cylindrical part = 14 cm

We know,

Volume of solid = Volume of cylindrical part + Volume of hemispherical part

As Volume of cylinder is $V=\pi r^2h$

∴ Volume of cylindrical part is

$V_c=\frac{22}{7}\times 14^2\times 14$

$V_c=8624cm^3$

∵ Volume of hemisphere  is $V=2\pi r^3$

∴ Volume of hemispherical part is

$V_s=\frac{22}{7}\times 14^3$

$V_s=5749.33 cm^3$

Volume of solid =  8624 + 5749.33 = 14373.33 cm cube.

Therefore, The volume of the solid is 14373.33 centimeter cube.