Question

a toy in the form of cylinder of diameter 2√2 and height 3.5 m surmounted by a cone whose vertical angle is 60° . Find total surface area of toy​

Answer 1

Answer:

Let the radius of the cylinder is r and slant height of the cone is l, and height of the cylinder is h =3.5m.

As vertical angle is 60, Hence angle FAC = 60/2 =30

So In triangle FAC , we have

sinA = CF/AC = root2/AC

Sin30 = root2/AC

AC = 2root2

So surface area of the toy :

Curved Surface area of cylinder + Curved surface area of cone + surface area of the circular base

= 2(pi)rh + (pi)rl + (pi)r2

= 2(3.14) (root2) (3.5) + (3.14) (root2)(2root2) + (3.14)(root2)2

= 44.67m2

Hence the total surface area of the toy is 44.67m 2

Hope it is right!

Answer 2

Step-by-step explanation:

See the attachment.. hope it helps you