Use the Distributive Property to rewrite each algebraic expression.
2 answers:
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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
1/2 = 0.5
12 & 1/2 = 12 + 1/2 = 12 + 0.5 = 12.5
4 & 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5
Refer to the diagram below. Note how I divided the figure into two rectangles.
The larger red rectangle is 12.5 feet by 10 feet. It has area 12.5*10 = 125 square feet.
The smaller blue rectangle has dimensions 4.5 feet by 5 feet (the 5 is from 15-10 = 5), so it has area 4.5*5 = 22.5 square feet
Now add up those individual areas to get the total area
125+22.5 = 147.5
Then convert that to a mixed number
147.5 = 147 + 0.5 = 147 + 1/2 = 147 & 1/2
<h3>The correct area is 147 & 1/2 feet</h3>