A solid plastic ball is a sphere with radius 11 in. How much plastic does it take to make one ball? Use 3.14 for pi.
1 answer:
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Answer:
Step-by-step explanation:
For the surface area we need to add up all the areas in the pyramid:
- area of the base
- area of the triangle sides (there are 4 triangles)
Area of the base:
the base is a square, and the area of a square is given by:
where is the length of the side:
, thus:
Area of the triangles:
one triangle has the area given by the formula:
where is the base of the triangle:
and is the height of the triangle:
, thus we have the following:
the expression that represents the surface area of the pyramid is:
substituting our values:
which is option B
First separately:
Then you add then all together and get:
Then you add then all together and get: