Answer:
284/3 πx³
Step-by-step explanation:
Volume of a cylinder is expressed as shown:
V = πr²h
r is the radius of the cylinder
r = diameter/2
r = 8x/2
r = 4x
Height of the cylinder = 6x
Volume of the roll with out the hole
V = π(4x)²(6x)
V = 16x²π(6x)
V = 96πx³
The hole in the middle will be a solid sphere with diameter 2x (radius will be x)
Volume of the hole = 4/3πr³
Volume if the hole = 4/3πx³
Volume of the toilet paper roll = volume of the roll without a hole - volume of the hole
= 96πx³ - 4/3πx³
= (96-4/3)πx³
= 284/3 πx³
We are given:

There seems to be nothing I can do to simplify this equation. However, I can factor out an
since they both have at least an
. Here is what we get:

This is in the simplest form I can get into. I cannot do anything more to simplify this expression. This is your final answer.
Answer:
AREA = 4,850
Step-by-step explanation:
split into two pieces
formula for triangles- base x height divided by 2
20 x 50 = 100 / 2 = 50
(130 - 50 = 80)
80 x 120 = 9,600 / 2 = 4,800
add...
4,800 + 50 = 4,850