Answer:
12 cm³
Step-by-step explanation:
Let's say the radius of the sphere and cylinder is r and the height is h. However, notice that the "height" of the sphere is the same thing as the diameter, which is 2r, so h = 2r.
The volume of a sphere is denoted by: , where r is the radius.
The volume of a cylinder is denoted by: , where r is the radius and h is the height. Plug in 2r for h and 18 for V:
Now plug in 9 for πr³ in the volume formula for the sphere:
The volume of the sphere is 12 cm³.
Answer:
abcef
Step-by-step explanation:
X= -7
2+x=-5 if you move the constant to the right side it would be x=-5-2 which equals -7
Answer:
The son is 20 and a half years old.
The father is 36 and a half years old.
Step-by-step explanation:
We can solve this easily by turning it into an equation.
Let the mans age be y and the fathers age be x.
y+x=57
x=y+16
We can use the substitution method to solve for the first equation.
y+(y+16)=57
Now we only have one variable to solve for. Add like terms.
2y+16=57
Subtract 16 on both sides.
2y=41
Divide both sides by 2 to isolate y.
y=20.5
Now substitute 20.5 for y to solve for x.
20.5+x=57
Subtract 20.5 from both sides.
x=36.5
<em>The son is 20 and a half years old.</em>
<em>The father is 36 and a half years old.</em>
Hope this helps!
Answer:
<u>The fence need to be 144 feet length</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Radius (r) of the circular garden = 25 feet
Measurement of the angle to the garden = 30°
2. How long, to the nearest foot, does the fence need to be?
Let's recall that the formula of the circumference is:
c = 2πr
Upon saying that, let's also recall that the circumference of a circle is the length of the 360 degree arc of that circle. Since we know that the circumference of a 360 degree arc is 2Πr, we can calculate the length of various arcs of a circle, provided that we know the radius of such a circle. The length of an arc of n degrees equals (n/360) times the circumference. In our question, n = 330 because Ashley wants to maintain an opening of a central angle of 30 degrees.
x = Length of the fence
π = 3.1416
Now, we can solve for x, this way:
330/360 = x/50π
360x = 330 * 50π
360x = 330 * 157.08
360x = 51,836.4
x = 51,836.4/360
x = 143.99 or 144 (rounding to the nearest foot)