Answer:
V = 339.3 cm³; L = 203.9 cm²; A = 317.0 cm²
Step-by-step explanation:
a) Volume
The formula for the volume (V) of a cone is
V = ⅓πr²h
V = ⅓π × 6² × 9
V = ⅓π × 36 × 9
V = 108π cm³
V ≈ 339.3 cm³
=====
Curved surface area
The formula for the lateral surface area (L) of a cone is
L = πr√(r² + h²)
L = π×6√(36 + 81)
L = 6π√[9(4 + 9)]
L = 6π√(9 × 13)
L = 18π√13 cm²
L ≈ 203.9 cm²
===============
b) Base surface area
The base is a circle, so the formula for base surface area (B) is
B = πr²
B = π×6²
B = 36π cm²
B ≈ 113.1 cm²
=====
Total surface area
A = L + B
A = 18π√(13 +36π)
A = 18π(2 + √13) cm²
A ≈ 203.9 + 113.1
A ≈ 317.0 cm²
<em>The answer to your question would be 54</em>
<em />
<em>Work Shown:</em>
<em />
<em>5-2(5-27+5</em>
<em>Calculate with parenthesis (5-27): -22</em>
<em>5-2(-22)+5</em>
<em>Multiply and divide (left to right) 2(-22): -44</em>
<em>5-(-44)+5</em>
<em>Add and subtract (left to right) 5-(-44)+5</em>
<em>54</em>
A.) False
b.) True
c.) True
d.) True
Answer:
x = 4/3
y = 1/3
Step-by-step explanation:
System of equations! This is set up really well to make the second equation equal x then substitute.
x - y = 1
x = 1 + y
and then our substitution:
2 (1+y) + y = 3
and solve:
2 + 2y + y = 3
3y + 2 = 3
3y = 1
y = 1/3
And now we can substitute that value into one of our equations:
x - (1/3) = 1
x = 4/3
Next we should check by substituting these values into both of our equations:
2 (4/3) + (1/3) = 3
9 / 3 does equal 3 !
(4/3) - (1/3) does equal 1 !
Therefore, x = 4/3 , and y = 1/3
