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
Answer:
There's a rotation in our schedule if things we do everyday.
Step-by-step explanation:
Hope this helps :D
B. is true. 15·(–5) > 23·(–12).
15·(-5)=-75.
23·(-12)=-276.
-75 > -276
Answer:
The triangles are not similar
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
<em>Triangle X.Y.Z</em>


---> angle X and angle Y are complementary angles
<em>Triangle H.G.J</em>
---> angle H and angle J are complementary angles


so
X.Y.Z is a
triangle
H.G.J is a
triangle
The measure of its corresponding angles are not congruent
therefore
The triangles are not similar
The slope of the line is 2