Open Up - Grade 8 - Mathematics - Unit 5 - Lesson 19

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Last updated over 2 years ago
15 Questions
1
1.
A baseball fits snugly inside a transparent display cube. The length of an edge of the cube is 2.9 inches.
Is the baseball’s volume greater than, less than, or equal to 2.93 cubic inches?
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2.
There are many possible cones with a height of 18 meters. Let r represent the radius in meters and V represent the volume in cubic meters.

Write an equation that represents the volume V as a function of the radius r.(Short Answer)

Complete this table for the function, giving three possible examples.(Show Your Work)
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3.
There are many possible cones with a height of 18 meters. Let r represent the radius in meters and V represent the volume in cubic meters.

If you double the radius of a cone, does the volume double?
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4.
There are many possible cones with a height of 18 meters. Let r represent the radius in meters and V represent the volume in cubic meters.

Is the graph of this function a line?
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5.
A hemisphere fits snugly inside a cylinder with a radius of 6 cm. A cone fits snugly inside the same hemisphere.

What is the volume of the cylinder?
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6.
A hemisphere fits snugly inside a cylinder with a radius of 6 cm. A cone fits snugly inside the same hemisphere.

What is the volume of the cone?
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7.
A hemisphere fits snugly inside a cylinder with a radius of 6 cm. A cone fits snugly inside the same hemisphere.

Estimate the volume of the hemisphere by calculating the average of the volumes of the cylinder and cone.
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8.
Find the hemisphere’s diameter if its radius is 6 cm.
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9.
Find the hemisphere’s diameter if its radius is \frac{1000}{3} m.
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10.
Find the hemisphere’s diameter if its radius is 9.008 ft.
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11.
Find the hemisphere’s radius if its diameter is 6 cm.
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12.
Find the hemisphere’s radius if its diameter is \frac{1000}{3} m.
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13.
Find the hemisphere’s radius if its diameter is 9.008 ft.
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14.
After almost running out of space on her phone, Elena checks with a couple of friends who have the same phone to see how many pictures they have on their phones and how much memory they take up. The results are shown in the table.
Could this information be reasonably modeled with a linear function?
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15.
After almost running out of space on her phone, Elena checks with a couple of friends who have the same phone to see how many pictures they have on their phones and how much memory they take up. The results are shown in the table.
Elena needs to delete photos to create 1,200 MB of space. Estimate the number of photos should she delete.(Nearest Whole Number)
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