Question

You make a time capsule with your friends. Find the surface area of the shape pictured. Use 3.14 to approximate pi.

Answer 1

Answer:
`1,475.8mm^(2)`

Explanation:

1. If you join the top part and the bottom part of the figure, you obtain a sphere. Then, you must apply the formula for calculate the surface area of a sphere:

`SA_s=4r^(2)(3.14)`

Where r is the radius (
`r=(10mm)/(2)=5mm`)

2. Then:

`SA_s=4(5mm)^(2)(3.14)=314mm^(2)`

3. The formula for calculate the suface area of the red part, which is a cylinder, is:

`SA_c=2(3.14)(r)(h)`

Where h is the height (h=32mm)

4. Then:

`SA_c=2(3.14)(5mm)(32mm)=1,004.8mm^(2)`

5. So, the total surface area is:

`SA_t=314mm^(2)+1,004.8mm^(2)=1,318.8mm^(2)`