During a game of roulette, a wheel is spun and a ball drops randomly into one of the wheel's numbered compartments. then the pro
1 answer:
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Answer:
The volume of a single tennis ball is
The volume of three tennis balls is
Step-by-step explanation:
Step 1
Find the volume of a single tennis ball
we know that
The volume of a sphere is equal to
where r is the radius of the sphere
In this problem
substitute
Step 2
Find the volume of the can
we know that
the volume of the cylinder is equal to
where r is the radius of the cylinder
h is the height of the cylinder
in this problem we have
substitute
Statement
<u>case A)</u> The volume of a single tennis ball is
The statement is true
See the procedure in Step 1
<u>case B)</u> The volume of the can is
The statement is false
The volume of the can is --> see the procedure Step 2
<u>case C)</u> The empty space inside the can is
The statement is false
To find the empty space subtract the volume of three tennis ball from the volume of the can
<u>case D)</u> The volume of three tennis balls is
The statement is true
To find the volume of three tennis balls multiply the volume of a single tennis ball by three
Answer:
The number of pennies,nickels and dimes are (p,n,d)=(3,4,6).
Further explanation:
Given:
A box holding pennies, nickels and dimes contains thirteen coins in a box.
Total value is 83 cents.
Calculation:
Consider p,n and d be the number of pennies, nickel and dimes.
Now, total is 13 coins so
As we know that these following are US coin.
Penny=1 cent
Nickel=5 cents
Dime=10 cents
Step 1:
The value is already given as 83 cents that is 80+3 cents.
80 cents can be possible in many combinations as follows:
(N,D)=(0,8),(2,7),(4,6),(6,5),(8,4),(10,3),(12,2),(14,1),(16,0)
It is given that the total number of cents is 13 so we choose (4,6) as (n,d) .
So the value of nickel n=4
Dimes d=6
Step 2:
The value of p is calculated as follows:
Substitute 4 for n, 6 for d in equation as follows:
p=3
Thus, the number of pennies,nickels and dimes are (p,n,d)=(3,4,6).