Question

A solid wooden toy is in the shape of a circular cone mounted on a hemisphere. if the radius of the hemisphere is 7 cm and the total height of the toy is 17 cm. Find the volume of the wooden toy (if you can also share of how its done,it'll be great)

Answer 1

Answer:

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

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

Hope This Helps :)

Answer 2

For the hemisphere,
r=7cm

For the cone
r=7cm
h=17-7
=10cm


Volume=2/3pi*r3 + 1/3r2h
=2/3*22/7*343 + 1/3*49*10
=717.2 + 163.3
=880.5cm3