Question

A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. if the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy?

Answer 1

V = (4/3)πr³ 
So the volume of a hemisphere will be half of that, which is (2/3)πr³ 

The volume of a cone of base radius r and height h is: 
V = (1/3)πr²h 

We are told that r = 4.2 cm 

The total height of the toy is made up of (the height of the cone) + (height of hemisphere) 
So the height of the cone = 10.2 - 4.2 = 6 cm 

So the volume of the toy = (volume of hemisphere + volume of cone) 
= (2/3)π * 4.2³ + (1/3)π * 4.2² * 6 
= 155.2 cm³ + 110.8 cm³ 
= 266 cm³

If this is not clear, Please refer the attachment ;)

Hope This Helps :)

Answer 2

Hi dear here is your answer.