First we have to know the formula of the volume f each of the solids,
<span>V of sphere = 4/3 pi r^3
</span><span>Volume of Cylinder = pi r^2(2r)=2pi r^3
</span><span>Volume of cone = 1/3 pi r^2(r)=1/3 pi r^3
</span>
The surest and easiest way we can answer this is actually assigning values. We first assign values to r hence we would get the volume of the sphere and rest of the solids (cylinder and cone). You then compare your answers to that of the sphere, and you should get your answer.
Y= -205
Step-by-step explanation:
Y=2-9x x=23
Y=2-9(23)
Y=2-207
Y= -205
Answer:
Step-by-step explanation:
The formula of the circumference of a circle is 
.
The length of an arch can be found by using the ratio of circumference to the arc.
First, find the circumference of the circle:
Then you find the ratio:
The length of the arc is 90/360, which is 1/4, of the circumference.
Finally, find the length of the arc:
or
I hope this helps :)
Answer:
The perimeter of the triangle can be expressed as 5x + 18.
Step-by-step explanation:
Perimeter of an object is the sum of the length of its sides.
For the required triangle, we have;
length of the base = x
length of the second side = 3x + 9
length of the third side = x + 9
Perimeter of the triangle = length of the base + length of the second side + length of the third side
= x + (3x + 9) + (x + 9)
= x + 3x + 9 + x + 9
= 5x + 18
The perimeter of the triangle can be expressed as 5x + 18.
Answer:
b=12
Step-by-step explanation:
a^2+b^2=c^2
(9×9) + b^2= 15×15
81+ b^2= 225
-81. -81
b^2=144
√. √
b= 12
