Question

​You need to wrap a present that you will put inside a cylindrical container. You’ll need to know how much will fit in the container and how much wrapping paper you will need. The container stands 7 inches high and has a diameter of 5 inches. ​Draw a net​ of the container and solve for the volume​ and ​total surface area​ of the container. (Use 3.14 for Π )PLEASE SHOW ALL WORK!!!!!!!!!!!!

Answer 1

149.28 sq. inches

137.5 cubic inches.

Explanation:

The cylindrical container has length or height (h) 7 inches and has a diameter of 5 inches i.e. radius (r) 2.5 inches.

Now, total surface area of the container =
`2\pi r^(2) + 2\pi rh`

=
`(2 * 22 * (2.5)^(2) )/(7) + (2 * 22 * 2.5 * 7)/(7)`

= 39.28 + 110

= 149.28 sq. inches (Answer)

Again the volume of the container will be
`\pi r^(2)h`

=
`(22 * (2.5)^(2) * 7)/(7)`

= 137.5 cubic inches. (Answer)