Who says V1=V2?
if we simplify we get
(2/3)pir₁³=12pir₂²
for V1 to equal V2
a.
solve for r₁ to find r₁ as a function of r₂
(2/3)pir₁³=12pir₂²
times 3/2 both sides and divide by pi
r₁³=18r₂²
cube root both sides
r₁=∛(18r₂²)
if solve for r₂
(2/3)pir₁³=12pir₂²
divide by 12pi both sides
(1/18)r₁³=r₂²
squer root both sides
√((1/18)r₁³)=r₂
double radius of pond which is r1
√((1/18)r₁³)=r₂
r₁ turns to 2r₁ to double radius
√((1/18)(2r₁)³)=r₂double
√(8(1/18)(r₁)³)=r₂double
(√8)(√((1/18)(r₁)³))=r₂double
√((1/18)r₁³)=r₂ so
(√8)(r₂)=r₂double
(2√2)(r₂)=r₂double
the radius of the tank is multipled by 2√2
It will take 9 hours because 3 times 9 is 27
Answer:
The answer to your question is: third option, it's a parabola
Step-by-step explanation:
f(x) = (x + 4)²
f(x) = x² + 4
f(x) = (x - 4)² I think this is the right answer, because when get the vertex, the signs are changed, if the -4 is negative, it means that the graph must be located in +4.
f(x) = x² - 4
That's an expression, so the only thing you can do is simplify it, but that already looks simplified.
Hi eue was your day you were gone and you did a good night