Question

I need help asap!!!!!

Answer 1

The surface area of the trash can = 25.12 ft²

Solution:

The given image is splitted into two shapes.

One is Cylinder and the other is hemisphere.

Radius of the cylinder = 2 ÷ 2 = 1 ft

Height of the cylinder = 4 – 1 = 3 ft

Curved surface area of the cylinder = $2\pi rh$

                                                            $=2\times 3.14 \times 1 \times 3$

                                                            = 18.84 ft²

Curved surface area of the cylinder = 18.84 ft²

Curved surface area of the hemisphere = $2 \pi r^2$

                                                                  $= 2\times 3.14 \times 1^2$

                                                                  = 6.28  ft²

Curved surface area of the hemisphere = 6.28  ft²

Surface area of the trash = CSA of cylinder + CSA of hemisphere

                                           = 18.84 ft² + 6.28 ft²

                                           = 25.12 ft²

The surface area of the trash can = 25.12 ft²