Answer:
Surface area of sphere = 4πr²
r = radius
radius = diameter /2
= 12/2
= 6units
Surface area = 4π×6²
= 144π
= 452.4 square units
Hope this helps.
Answer: 2/3πx³
Step-by-step explanation:
Let the radius of the cone be represented by x.
Since the height of the cone is twice the radius of its base, the height will be: = 2x
Volume of a cone = 1/3πr²h
where,
r = x
h = 2x
Volume of a cone = 1/3πr²h
= 1/3 × π × x² × 2x
= 1/3 × π × x² × 2x
= 1/3 × π × 2x³
= 2/3πx³
Therefore, the correct answer is 2/3πx³.
<span>85 x 63 = 5355
hope it helps
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Given that 
, we have 
, so that
Take the derivative and find the critical points of 
:
Take the second derivative and evaluate it at the critical point:
Since 
is positive for all 
, the critical point is a minimum.
At the critical point, we get the minimum value 
.
Answer:
1. -2 = x
2. 19 = x
3. -22 = b
4. 30 = y
5. -5 = t
Step-by-step explanation:
1. -3x = 6 [-1 to the right side of the equivalence symbol]
2. 5x = 95 [23 to the right side of the equivalence symbol]
3. ᵇ/₂ = -11 [23 to the left side of the equivalence symbol]
4. ⅓y = 10 [7 to the right side of the equivalence symbol]
5. -2t = 10 [13 to the right side of the equivalence symbol]
I am joyous to assist you anytime.
