I need help on solving 3 math problems

Question

A manufactoring firm wants to package it's product in a cylindrical container 3 feet high with a surface area of 8πft^2. What should the radius of the circulat top and bottom of the container be?

Hint: The surface area consists of the circular top and bottom and a rectangle that represents the side cut open vertically and unrolled.

 

A can of Blue Runner Red Kidney Beans has a surface area of 371cm². It's height is 12cm. What is the radius of the circular top? Round to the nearest tenth.

 

A building is 2 feet from a 9 feet fence that surround the property. A worker wants to wash a window in the building 13 feet from the ground. He plans to place a ladder over the fence so it rests against the building. He decides he should place the ladder 8 feet from the fence for stability. To the nearest tenth of a foot, how long a ladder will he need?

Answer 1

2 feet from 9 foot fence

13 foot high window

the ladder needs to be sqr20+sqr162=

2sqr5+9sqr2

=about 9(1.414)+ 4.4721

= 12.726+4.472

= about 17.198

= about minimum 17 foot long ladder required

construct 2 right triangles

legs 13-9 & 2 and 9 &9

legs 4&2 and 9&9

add the 2 hypotenuses

the ladder is at 45 or 135 degrees with the ground

drawing a sketch might help