What is the solution for the equation 36³-26²-5 6³-2 36²-26²-5-6²²-2²
1 answer:
Answer:
b = 0 and b = 4
Step-by-step explanation:
=
( cross- multiply )
2(3b³ - 2b² - 5) = 5(b³ - 2) ← distribute parenthesis on both sides
6b³ - 4b² - 10 = 5b³ - 10 ( subtract 5b³ from both sides )
b³ - 4b² - 10 = - 10 ( add 10 to both sides )
b³ - 4b² = 0 ← factor out b² from each term on the left side
b²(b - 4) = 0
equate each factor to zero and solve for b
b² = 0 ⇒ b = 0
b - 4 = 0 ⇒ b = 4
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The length of the radius of the cylinder is 2 units.
The lateral surface area of a cylinder = <span>2πrh</span>
where, r = base radius
h = height of cylinder
Now, height of cylinder = 2r units
⇒ 16 π = 2×π×r×<span>h
</span>⇒ 16 π = 2×π×r×2r
⇒
= 4
⇒ r = 2 units
Thus, radius is 2 units.
The lateral surface area of a cylinder = <span>2πrh</span>
where, r = base radius
h = height of cylinder
Now, height of cylinder = 2r units
⇒ 16 π = 2×π×r×<span>h
</span>⇒ 16 π = 2×π×r×2r
⇒
⇒ r = 2 units
Thus, radius is 2 units.