Question

3. Find the surface area of each object to the nearest tenth of a square unit. d=2.5 cm b) d=0.003 m 16cm wooden rod 16 m flag pole 62 MHD

Answer 1

The formula for the surface area of a cylinder is given:

`A=2\cdot\pi\cdot r\cdot h+2\cdot\pi\cdot r^2`

then, since the information given is a diameter, rewrite the expression using the diameter.

`\begin{gathered} D=2\cdot r \\ r=(D)/(2) \\ \text{then, } \\ A=D\cdot\pi\cdot h+2\cdot\pi\cdot((D)/(2))^2 \end{gathered}`

Replace with the data given

`\begin{gathered} A=(2.5)\cdot(\pi)\cdot(16)+2\cdot\pi\cdot((2.5)/(2))^2 \\ A=40\pi+3.125\pi \\ A=43.125\pi \end{gathered}`