A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown. A cone is shown. The top of the cone is cut off to form a frustum of the bottom portion. The cone has a radius of 3. 5 and a height of 8. The frustum has a height of 11 and a radius of 7. 5. Which expression represents the volume, in cubic units, of the frustum? One-thirdĎ€(7. 52)(11) â€" One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(11) One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(19) â€" One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(19) One-thirdĎ€(3. 52)(8).
Answers
The expression that represents the volume of the frustum in cubic units is [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex][tex]units^3[/tex]
The formula for calculating the volume of a cone is expressed as:
[tex]V=\frac{1}{3} \pi r^2h[/tex]
r is the base radius of the coneh is the height of the coneThe volume of the frustum will be expressed as:
Vf = Volume of the larger cone - Volume of the smaller cone
The volume of the larger cone = [tex]\frac{1}{3} \pi (7.5)^2(11+8)\\[/tex]
The volume of the larger cone = [tex]\frac{1}{3} \pi (7.5)^2(19)\\[/tex]The volume of the smaller cone = [tex]\frac{1}{3} \pi (3.5)^2(8)\\[/tex]Taking the difference in volume:
Volume of the frustum = [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex]
Therefore the expression that represents the volume of the frustum in cubic units is [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex][tex]units^3[/tex]
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The better buy should be buy twelve cans for 7 dollors
Given that,
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The second option
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Answers
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Answer:
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