Question

A toy is in the form of a cylinder of diameter 2 root 2 m and height 3.5 m surmounted by a cone whose vertical angle is 90°. Find the TSA of the toy.​

Answer 1

Answer:

Step-by-step explanation:

Angle FAC = 30

In triangle FAC

Sin A = CF/AC  = √2/AC

AC = 2√2

Cos 30 = AF/AC

√3/2 x 2√2 = AF

AF = √6

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

= 2(3.14)(√2)(3.5) + 3.15(2)(√2)² + 3.15(√2)²

= 44.67 m²

Volume = 1/3(pi)r^2h + )pi)r²H

= (pi)r²(1/3h + H)

= 3.14(√2)^2(1/3 x√6 + 1.3)

= 13.29 m³