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.
Correct option is C. He has 225 acres of land .
Let the Number of acres of land Roy have = x
As he planted corn on 1/5 of his land,
Number of acres of his land planted with corn = 1/5 × Number of acres of land Roy have
= x/5
As he planted 45 acres of his land with corn,
⇒ x/5
= 45
⇒x = 45 × 5
⇒x = 225
Therefore, number of acres of land Roy have is 225 .
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Answer:
The probability is 435/6,806
Step-by-step explanation:
Firstly, the total number of coins in the jar is
13 + 15 + 29 + 26 = 83
The probability of selecting a dime is 15/83
Now we want to grab a nickel
Since we already selected a dime and we did not replace it, the number of total coins in the jar will be 83-1 = 82
So the probability of selecting a nickel this time is
29/82
So the total probability of the event in the described order is;
15/83 * 29/82
= 435/6,806
First find the total without using the dicounts. then do 70×.35 which is 35% as a decimal. your answer is the dicounts but that is how much you are taking off. .35×70= 24.5 then you would do 70-24.5=45.5 then do the same for the other amount. add these two amounts together. ( 30×.25=7.5 30-7.5= 22.5) 45.5+22.5= 68 then do your first answer - 68 and that is how much is saved