A picture can help.
The median to the long side divides the isosceles triangle into two right triangles with hypotenuse 10 and short leg 6. Thus the long leg (median of interest) is found by the Pythagorean theorem to be
... √(10² -6²) = √64 = 8
Then the midpoint of the short side is found to be 6 + (6/2) = 9 units to the side and 8/2 = 4 units above the opposite vertex. Hence the square of the length of that median is 9² + 4² = 97.
The sum of squares of interest is
... 8² + 2×97 = 258
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