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
Answer:

Step-by-step explanation:
we know that
In the right triangle of the figure XYZ
Applying the Pythagorean Theorem

substitute the given values



square root both sides

Answer:
P(A n B) = 5
Step-by-step explanation:
From the venn diagram given, we can see that;
P(A) = 25
P(B) = 15
P(A n B) = 5
Thus,the correct answer of P(A n B) which is the intersection between A and B is 5
The answer is : 46.4758001545 ( in square root )
Answer:
15.85%
Step-by-step explanation:
Given:
Acres damaged (burned) = 6,500 acres
Acres in total forest = 41,000 acres
Hence the amount of damaged forest as a fraction of the total forest,
=
= 
expressed as percentage =
x 100% = 15.85%