Which inequality is true?
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
Answer:
(Triangular pyramid)
Lateral area = 1650
Total surface area = 1860.1
(Triangular prism)
Volume = 660
Step-by-step explanation:
<u> For the triangular pyramid</u>
Area of triangle = × base × height
Area of the base = × 22 × 19.1 = 210.1
Area of the sides = × 22 × 50 = 550
Number of sides (excluding base) = 3
∴ Total Area = 210.1 + (550 × 3)
= 210.1 + 1650 = 1860.1
Lateral Area = (550 × 3) = 1650
<u>For the triangular prism</u>
Area of the triangle = × 12 × 5 = 30
Volume = Area x Height
Volume = 30 × 22 = 660