Simplify the radical expression. Please explain how you got your answer. √25/4
1 answer:
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Answer:
-- Cone
-- Cylinder
-- Sphere
<em>Best Buy: Sphere Clay</em>
Step-by-step explanation:
Given
Solid Shapes: Cone, Cylinder, Sphere
Cost of Cone Clay = $12
Cost of Cylinder Clay = $30
Cost of Sphere Clay = $28
Required
Determine the volume of each shape
Which is the best buy
<h2>CONE</h2><h3>Calculating Volume</h3>The volume of a cone is calculated as thus;
From the attached diagram
Radius, r = 9 inches; Height, h = 12 inches and
Substitute these values in the above formula;
The unit cost of the cone is calculated as thus;
Where
(Given)
The volume of a cylinder is calculated as thus;
From the attached diagram
Radius, r = 9 inches; Height, h = 12 inches and
Substitute these values in the above formula;
The unit cost of the cone is calculated as thus;
Where
(Given)
The volume of a sphereis calculated as thus;
From the attached diagram
Radius, r = 9 inches; and
Substitute these values in the above formula;
The unit cost of the cone is calculated as thus;
Where
(Given)
Comparing the Volume:Price ratio of the three clay;
<em>The best buy is the sphere because it has the highest volume:price ratio.</em>
<em>Having the highest volume:price ratio means that with $1, one can get more clay from the sphere compared to other types of clay</em>