The map above is being reduced by a scale factor of 1/3 and printed at the subway station. How many square inches will the new m
2 answers:
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The choices are not attached but we can solve the problem from the given information
Answer:
The expression can be used to find h is
The height of the cone is cm
Step-by-step explanation:
The formula of the volume of the cone is V = π r² h, where
- r is the radius of its base
- h is the height of it
Let us find the height of the cone from the formula of its volume
∵ V = π r² h
- Multiply both sides by 3
∴ 3 V = π r² h
- Divide both sides by π r²
∴
- Switch the two sides
∴
The expression can be used to find h is
∵ The radius of the cone is 7 cm
∴ r = 7
∵ The volume of the cone is 147 cm³
∴ V = 147
- Substitute them in the expression of the height to find it
∵
∴ h = cm
The height of the cone is cm