Question

Sandy wants to cover a wooden cylinder with a diameter of 1 ft and a height of 4 ft with carpet to build a scratching post for her cats. What are the steps she needs to take to complete this task?

Answer 1

Sandy needs
`14.13\ ft^(2)` of carpet to build a scratching post for her cats

Explanation:

Sandy needs to calculate the surface area of the cylinder

The surface area of the cylinder is equal to

`SA=2\pi r^(2)+2\pi r(h)`

we have

`r=1/2=0.5\ ft` ----> the radius is half the diameter

`h=4\ ft`

assume

`\pi =3.14`

substitute the values

`SA=2(3.14)(0.5)^(2)+2(3.14)(0.5)(4)`

`SA=14.13\ ft^(2)`

Sandy needs
`14.13\ ft^(2)` of carpet to build a scratching post for her cats