Question

33. A solid wooden toy is in the shape of a right circular cone mounted an a hemi-sphere
of radius 4.2 cm. The total height of the toy is 10.2 cm. Find the volume of the toy.
(Take π = 22/7)​

Answer 1

≡QUESTION≡

A solid wooden toy is in the shape of a right circular cone mounted an a hemisphere  of radius 4.2 cm. The total height of the toy is 10.2 cm. Find the volume of the toy.

                                                       

║⊕ANSWER⊕║

V = (4/3)πr³ 

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 

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

                                                     

Answer 2

Answer:

Step-by-step explanation:

This is the answer