Answer:
115
Step-by-step explanation:
5\color{red}{x}+\color{blue}{168}=
5x+168=
\,\,\color{purple}{743}
743
-\color{blue}{168}\phantom{=}
−168=
\,\,-\color{blue}{168}
−168
Subtract 168 from both sides
5\color{red}{x}=
5x=
\,\,575
575
\frac{5\color{red}{x}}{5}=
5
5x
=
\,\,\frac{575}{5}
5
575
Divide both sides by 5
\color{red}{x}=
x=
\,\,\boxed{\color{red}{115}}
115
Answer:
The volume of water that remains on the cone is 523.6 cm³
Step-by-step explanation:
To solve this problem you have to keep in mind the formules that describes the volume of a cone and the volume of a sphere.
Volume of a cone = (πr²h)/3
Volume of a sphere = (4/3)πr³
So, if the base of the cone has a diameter of 10 cm, its radius is 5 cm. Its altitude is 10 cm. ⇒Volume = (πr²h)/3 ⇒ Volume = [π(5²)10) ⇒
Volume = 785.4 cm³. This is the initial volume of water.
Now if the sphere fits in the cone and half of it remains out of the water, the other half is inside the cone. Estimating the volume of the sphere and dividing it by two, you find the volume of water that was displaced.
Volume of a sphere = (4/3)πr³, here the radius is the same of the base of the cone (5 cm).
⇒ Volume = (4/3)π(5³) ⇒ Volume = 523.6 cm³ ⇒ The half of this volume is 261.8 cm³. This is the volume of water displaced.
⇒ The volume of water that remains on the cone is 523.6 cm³ (785.4 cm³- 261.8 cm³)
Answer:
The height of the cone is 
Step-by-step explanation:
we know that
The volume of the cone is equal to
where
B is the area of the circular base of the cone
h is the height of the cone
In this problem we have
<em>Find the area of the base B</em>
substitute the value of r
<em>Find the height of the cone</em>
assume 
Answer:
10.50 Miles per hour
Step-by-step explanation:
42/4 = 10.50 easy
There is no error, Jacob did everything right :)
