Let
x---------> radius of the cylinder
y---------> the height of the cylinder
we know that
x=2y
[surface area of cylinder]=2*[pi*r²]+2*pi*r*h
surface area=108*pi m²
r=x
h=y
x=2y
108*pi=2*[pi*(2y)²]+2*pi*(2y)*y
108*pi=8*pi*y²+4*pi*y²
108*pi=12*pi*y²
y²=108/12
y²=9----------> y=√9--------> y=3 m
x=2y-------> x=2*3-----> x=6 m
the answer is
the height of the cylinder is 3 m
1. You have that two sides of a triangle have lengths of 6 and 13. Then, by the <span>Triangle Inequality Theorem, you have:
a+b>c
a+c>b
b+c>a
3. Therefore, you have:
a=6
b=13
c<a+b
c<6+13
c<19
4. The difference between a and b should be lesser that c. Then
a-b<c
13-6<c
7<c
5. Therefore:
c=x
7<x<19
The correct answer is the option B: </span> B. 7<x<19<span>
</span>
Answer:
27 cubic millimeters
Step-by-step explanation:
Remember that a cube's surface area is
where
is any side length of the cube.
Hence, by solving
, we find that the side length of a cube is 3 millimeters.
This means that the volume of the cube is ![V=s^3=3^3=27mm^3](https://tex.z-dn.net/?f=V%3Ds%5E3%3D3%5E3%3D27mm%5E3)