Have a look at the attached image.
Answer:
radius = 4 cm
Step-by-step explanation:
To find the length of the radius, we will follow the step below;
First, write down the formula for finding the volume of a cylinder
v=πr²h
where v is the volume of a cylinder
r is the radius and
h is the height of the cylinder
from the question given,
v=125.6 and h = 10 cm
we can now proceed to insert the values into the formula and solve for r
note that π is a constant which is equal to 3.14
v=πr²h
125.6 =3.14×r×10
125.6 =31.4 r
Divide both-side of the equation by 31.4
125.6/31.4 =31.4 r/31.4
4 = r
r =4 cm
The length of the radius = 4 cm
<u>Given</u><u> info</u><u>:</u><u>-</u> Find the remainder when x^5 - 3x^3 + x - 5 is divided by x - 2
<u>Solution:</u><u>-</u>
Given,
p(x) = x^5 - 3x^3 + x - 5 , g(x) = x - 2
Let g(x) = x-2 will be the factor of p(x) if p(2) = 0.
Now, p(x) = x^5 - 3x^3 + x - 5
p(2) = (2)^5 - 3(2)^3 + 2 - 5
= (2*2*2*2*2) - 3(2*2*2) + 3 - 5
= 32 - 3(8) + 3 - 5
= 32 - 24 + 3 - 5
= 31 - 24 - 2
= 31 - 26
= 5 Remainder.
Hence, when x^5 - 3x^3 + x - 5 is divided by x - 2 , we get the remainder as 5.
Domain ( Inputs ) Range (Outputs)
2, 5, 10. 6, 15 , 30
X Y
2. 6
5. 15
10. 30
