find the surface area of the compositefigure if the diameterof the container is 8 m and the height is 15 m. please round your answer to the nearest tenth.

Question

sixth grade algebra

Answer 1

Can you describe the composite figure for us? There really isn't enough information to find a solution without making some assumptions.

Perhaps this is a cylindrical container with a bottom but no top?

Answer 2

I am assuming that the container is a cylinder with a diameter of 8m and a height of 15m.

The surface area would mean the top, the sides, and the bottom.

The top and bottom would both be circles of diameter 8m, and the sides would be a rectangle of height 15m and width the circumference of a circle of diameter 8m.

Now, the area of a circle is pi times the radius squared, and we need two of them.

And the circumference of a circle is pi times the diameter.

So we need ( 2 * pi * (8/2)² ) + ( 15 * pi * 8 )

             = ( 2 * pi * 4² ) + ( 15 * pi * 8)

             = ( 2 * 16 * pi ) + ( 15 * 8 * pi )        (multiplication is commutative so I can change the order)

             = ( 32 * pi ) + ( 120 * pi )

             =  ( 32 + 120 ) * pi                           (addition is distributive over multiplication)

             =  152 * pi

             which is approximately 477.522 square meters.

The problem asks for the answer rounded to the nearest tenth, which would be 477.5 square meters.