Answer: 21,952 cm³
Explanation:
Volume = 28 x 28 x 28 = 29 152 cm³
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Answer:
1/3 or .3333333.....
Step-by-step explanation:
36 cm²s⁻¹ is the rate at which the area of the square is increasing.
Given each side of the square is increasing at a rate of 6cm/s
Area, A = s², s is the side length
=>
{chain rule of differentiation}
= 6 cm/s
When A = 9 cm² => 9 = s²
=> s = √(9) => s = 3 cm
Hence,
= 2 × 3 × 6 = 36 cm²s⁻¹
Hence, 36 cm²s⁻¹ is the rate at which the area of the square increases
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Answer:
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Step-by-step explanation:
Correct option is B)
The circumference of the circle is 96 units.
Therefore, 2π×r=96
⇒r=
2×22
96×7
=15.27 units
Now, in the quadrilateral OLMN,∠OLM+∠LMN+∠MNO+∠NOL=360
o
Given that LM and MN are tangents to the circle, ∠OLM=∠ONM=90
o
∴∠NOL=360−90−90−60=120
o
The length of arc is given by rθ where θ is the angle made by the arc at the centre in radian.
Thus, arc length LN=15.27×
180
120π
=31.98