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 end and the total height of the toy is 10.2 cm. Then the volume of the wooden toy,
a) 265.11 cm
b) 256. 11 cm
c) 260.11 cm
d) 266.11 cm 1​

Answer 1

ANSWER

Volume of the toy = Volume of the hemispherical part + Volume of conical part

Volume of a hemisphere of radius 'r' =

3

2

πr

3

Volume of a cone =

3

1

πr

2

h where r

is the radius of the base of the cone and h is the height.

The hemisphere and the cone will have the same radius r =4.2cm

Since total length of the toy is 10.2 cm, the length of the conical part will be 10.2−4.2=6cm

Hence, Volume of the solid =(

3

2

×

7

22

×4.2

3

)+(

3

1

×

7

22

×4.2

2

×6)=266.112cm