Answer:551.3212cm³
Step-by-step explanation:
Find the image attached
The volume is made up of a cone, cylinder and a hemisphere
Volume of the shape = Volume of cone + volume of cylinder + volume of hemisphere
Get the volume of the cone;
Volume of a cone Vc = 1/3πr²h
r is the base radius = 3.5cm
Height = 10cm
Vc = 1/3π(3.5)²(6)
Vc = 1/3π(12.25)(6)
Vc = 12.25 * 2π
Vc = 24.5π cm³
Get the volume of the cylinder;
Vcy = πr²h
r = 3.5cm
h = 10cm
Vcy = π(3.5)²(10)
Vcy = π(12.25)(10)
Vcy = π(122.5)
Vcy = 122.5π cm³
Get rhe volume of the hemisphere;
Volume of hemisphere = 2/3 πr³
r = 3.5cm
Vh = 2/3 π(3.5)³
Vh = 2/3π(42.875)
Vh = 28.58π cm³
Volume of the shape = VC + Vcy + Vh
Volume of the shape = 24.5π+122.5π+28.58π
Volume of the shape = 175.58π
<em>Volume of the shape = 551.3212cm³</em>
Answer:

Step-by-step explanation:
In this graph, we have the coordinate point (
). Without translations, cos(0) = 0, which means that the graph is shifted to the right by
. We also know that the graph is shifted down by 1 because we have the point
(
), but accounting for the right shift, this point should really by (
). cos(
) = -1, but on the graph it is -2, meaning that it is shifted down by 1.
Therefore, accounting for the right shift by
and the shift down by 1, our equation is
.
Answer:
Charges are both negative and positive as such negative charges are drawn to positive charges and the same with positive being drawn to negative
this can be explained because the human body has natural medals in that attract negative and positive charges just like metal.
Answer: 24 hours - no; because depending on where you are on Earth, you have a different amount of sunlight.
Step-by-step explanation:
The day-night cycle is a complete day or a complete rotation of the earth around its axis. This takes 24 hours which is why 24 hours is the length of a full day.
People around the world however, do not get the same amount of sunlight or darkness and this is because of where they are on Earth. Due to the way the planet is tilted on its axis, some areas see sunlight more than other in a period and others see more darkness.
Answer:
18 meters
Step-by-step explanation:
the function is already given to you so you can just plug 50 into x because x represents the # of months
H(x)=14+0.08(50)
H(x)=14+4
H(x)=18
So it's 18 meters tall