Answer:
Surface area = 663π in².
Volume = (676/3)π in² ≈ 225.33 π in²
Explanation:
1) We know the radius and the lateral area.
2) With the radius you can find the areas of the top and the bottom.
For that, you use the formula:
area of the top = area of the bottom = π r²
∴ π (13 in)² = 169π in² (each)
3) Then, the surface area is the sum of the lateral area and the two bases (top and bottom)
surface area = lateral area + bottom area + top area = 325π in² + 2×169π in² = 663π in².
3) You can also find the height of the cylinder.
Use the formula: lateral area = 2π r h
∴ h = lateral area / [2 π r]
⇒ h = 325 π / [ 2π (13) ] = 12.5 in
4) With the height you can find the volume.
Use the formula: V = (4/3) π r³
∴ V = (4/3) π (13 in)³ = (676/3)π in² ≈ 225.33 π in²
A = 1/2 bh
A = 1/2 (21)(8)
A = 1/2 (168)
A = 84
Answer:
x = -1
Step-by-step explanation:
<u>Step 1: Distribute</u>
-5(x + 2) = -(-5x + 1) - x
-5x - 10 = 5x - 1 - x
<em>-5x - 10 = 4x - 1</em>
<em />
<u>Step 2: Solve for x</u>
-5x - 10 + 5x = 4x - 1 + 5x
-10 + 1 = 9x - 1 + 1
-9 / 9 = 9x / 9
<em>-1 = x</em>
<em />
Answer: x = -1
Answer:
6+6+6+6+6+6
Step-by-step explanation:
if you add 6 six times you will get 36
Answer:
x >= 0 & y<0
x >= 0 means that x is non-negative
y<0 means that y is negative
