12. Write the equation of the graphed line.
1 answer:
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Answer:
The volume of the cone is 75.36 cm³
Step-by-step explanation:
The rule of the volume of a cone is V = π r² h, where
- r is the length of the radius of its base
- h is the height of the cone
In the given figure
∵ The length of the radius of the cone is 3 cm
∴ r = 3 cm
∵ The length of the height of the cone is 8 cm
∴ h = 8 cm
→ Substitute the values of r and h in the rule of the volume above
∵ π ≅ 3.14
∵ V = (3.14)(3)²(8)
∴ V = 75.36 cm³
∴ The volume of the cone is 75.36 cm³
The highlighted sector is exactly 3/4 of the circle area, because is 3/4 of
which is a complete rotation.
Since you are given the radius, you can compute the area as
So, 3/4 of this area would be squared cm.
The remaining sector, of course, is squared cm.