Question

A solid toy is in the form of a hemisphere surmounted by a right circular
cone of same radius. The height of the cone is 10 cm and the radius of the
base is 7 cm. Determine the volume of the toy. Also find the area of the
coloured sheet required to cover the toy. (Use π = 22/7 and √149 = 12.2) ​

Answer 1

Answer:volume=1232cm3

Csa=576.4cm2

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Given A solid toy is in the form of a hemisphere surmounted by a right circular  cone of same radius. The height of the cone is 10 cm and the radius of the  base is 7 cm. Determine the volume of the toy. Also find the area of the  coloured sheet required to cover the toy. (Use π = 22/7 and √149 = 12.2)  

• Given height of cone = h = 10 cm
• Radius of base r = 7 cm
• Volume of cone V1 = 1/3 π r^2 h
•                               = 1/3 π x 49 x 10
•                              = 490 π / 3
• Volume of hemisphere V2 = 2/3 π r^3
•                                           = 2/3 π x 7 x 7 x 7
•                                           = 686 π / 3
• So V1 + V2 = 490 π / 3 + 686 π / 3
•                    = 1176 π / 3
•                   = 1232 cm^3
• We know that curved surface area of cone = π r l
•                                         = 22/7 x 7 x 12.2 (l = √r^2 + h^2 = √7^2 + 10^2 = √149)
•                                                           = 268.4  
• Curved surface area of hemisphere = 2 π r^2  
•                                                         = 2 x 22/7 x 7  x 7
•                                                        = 44 x 7
•                                                       = 308  
• So total area to cover the sheet will be 268.4 + 308 = 576.4 cm^2

Reference link will be

https://brainly.in/question/15921502