Question

The given figure shows a toy. Its lower part is a hemisphere and the upper part is a cone. Find the volume and the surface area of the toy from the measures shown in the figure. 

(π = 3.14)

Answer 1

Given: For the conical part, 

height (h) = 4 cm, radius (r) = 3 cm

For the hemispherical part, 

radius (r) = 3 cm 

To find: Volume and surface area of the toy. 

Now, volume of the toy = Volume of cone + volume of hemisphere

= 12π + 18π 

= 30π = 30 × 3.14 

= 94.20 cm³ 

Also, surface area of the toy = Curved surface area of cone + Curved surface area of hemisphere 

= 15π + 18π 

= 33π 

= 33 × 3.14 

= 103.62 cm² 

∴ The volume and surface area of the toy are 94.20 cm³ and 103.62 cm² respectively.