All ISEE Upper Level Math Resources
Example Questions
Example Question #113 : Solid Geometry
Find the volume of a cylinder with a height of 9in and a radius of 8in.
To find the volume of a cylinder, we will use the following formula:
where r is the radius and h is the height of the cylinder.
Now, we know the radius of the cylinder is 8in and the height of the cylinder is 9in.
So, we get
Example Question #431 : Isee Upper Level (Grades 9 12) Mathematics Achievement
For a cylinder, if the radius of the base is 4, and the height is 10, what is the volume?
Write the formula to find the volume of a cylinder.
Substitute the known dimensions.
Solve for the volume.
The answer is:
Example Question #121 : Solid Geometry
If a cylinder has a height of 6 mm and a radius of 12 mm, what is its surface area?
If a cylinder has a height of 6 mm and a radius of 12 mm, what is its surface area?
Find surface area with the following formula:
This works because we are adding the area of the two bases to the area of the side.
Plug in and simplify:
Example Question #433 : Geometry
Find the volume of a cylinder with a diameter of 14cm and a height of 8cm.
To find the volume of a cylinder, we will use the following formula:
where r is the radius and h is the height of the cylinder.
Now, we know the diameter of the cylinder is 14cm. We also know that the diameter is two times the radius. Therefore, the radius is 7cm.
We know the height of the cylinder is 8cm.
Knowing all of this, we can substitute into the formula. We get
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