Given Information:
Volume of candle = V = 75 in³
Height of candle = h = 6 in
Required Information:
Radius of candle = r = ?
Answer:
Radius of candle = r = 2 in
Step-by-step explanation:
Recall that the volume of a cylindrical shape is given by
![V = \pi \times r^{2} \times h](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%5Ctimes%20r%5E%7B2%7D%20%5Ctimes%20h)
Where V is the volume, r is the radius and h is the height
Re-arrange the above equation for radius
![r^{2} = \frac{V}{\pi \times h} \\\\r = \sqrt{\frac{V}{\pi \times h}}](https://tex.z-dn.net/?f=r%5E%7B2%7D%20%3D%20%5Cfrac%7BV%7D%7B%5Cpi%20%5Ctimes%20h%7D%20%5C%5C%5C%5Cr%20%3D%20%5Csqrt%7B%5Cfrac%7BV%7D%7B%5Cpi%20%5Ctimes%20h%7D%7D)
Now substitute the given values into the above equation
![r = \sqrt{\frac{75}{\pi \times 6}}\\\\r = 1.99 \: in](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B%5Cfrac%7B75%7D%7B%5Cpi%20%5Ctimes%206%7D%7D%5C%5C%5C%5Cr%20%3D%201.99%20%5C%3A%20in)
Rounding to the nearest inch
![r = 2 \: in](https://tex.z-dn.net/?f=r%20%3D%202%20%5C%3A%20in)
Therefore, the radius of this candle is 2 inches.
Answer:
False
Step-by-step explanation:
Copper actually has about 8.96 g/cm3
Pascal triangles gives us the coefficients for an expanded binomial of the form (a+b)n,where n is now the row of the triangle..
Answer:
21/2
Step-by-step explanation:
step 1: remove parentheses
10+1/2
step 2: calculate
21/2
(alternative forms: 10 1/2, 10.5)
Answer:
x=56 and the exterior angle is 116
Step-by-step explanation:
We will call the unknown angle in the triangle y. Angle y and the angle (2x +4) form a straight line so they make 180 degrees.
y + 2x+4 =180
Solve for y by subtracting 2x+4 from each side.
y + 2x+4 - (2x+4) =180 - (2x+4)
y = 180-2x-4
y = 176-2x
The three angles of a triangle add to 180 degrees
x+ y+ 60 = 180
x+ (176-2x)+60 = 180
Combine like terms
-x +236=180
Subtract 236 from each side
-x+236-236 = 180-236
-x = -56
Multiply each side by -1
-1*-x = -56*-1
x=56
The exterior angle is 2x+4. Substitute x=56 into the equation.
2(56)+4
112+4
116