Question

A wooden toy is in the shape of right circular cone mounted on a hemisphere. Find the height of the cone if the radius of the cone is 1.5 cm and volume of the toy is 28.26 cm .

Answer 1

Answer:

266cm^3

Step-by-step explanation:

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

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