The volume 
of a cone with base radius 
and height 
is
Similarly, the volume 
of a sphere with radius 
is
We know that 
and that 
So, we can set up the following equation:
We can simplify the common denominator 3, and pi appearing on both sides:
We can divide both sides by 4:
Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.
594 divides by 34 equals 17.47
1/4x - 2 = 3/8
First, to start solving this, we can rearrange our fraction. Let's take 1/4x and change it to x/4. Why? Well, a variable can also be considered as the number 1.
Second, now we can continue solving for our variable (x). Let's add 2 to each side.
Third, let's simplify 3/8 + 2. (3/8 + 2 = 2.375 =19/8)
Fourth, continue trying to get the variable by itself. Multiply each side by 4.
Fifth, let's simplify 19/8 × 4. This is simple. Leave the denominator be and just do 19 × 4, which equals 76.
Sixth, our final step is to simplify our fraction. To do so, we will need to list the factors of the numerator and denominator and find the greatest common factor (GCF).
Factors of 76: 1, 2, 4, 19, 38, 76
Factors of 8: 1, 2, 4, 8
Since 4 is our first common factor, it is considered our GCF.
Seventh, now let's divide. Divide both the numerator and denominator by the GCF (4) to create our new simplified fraction.
Answer in fraction form:
Answer in decimal form:
Answer:
x =(4-√40)/6=(2-√ 10 )/3= -0.387
x =(4+√40)/6=(2+√ 10 )/3= 1.721
Step-by-step explanation: Hope this helped!!!
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