All SSAT Upper Level Math Resources
例子Questions
例子Question #6 :Know And Use The Formulas For The Volumes Of Cones, Cylinders, And Spheres: Ccss.Math.Content.8.G.C.9
The height of a cylinder is 3 inches and the radius of the circular end of the cylinder is 3 inches. Give the volume and surface area of the cylinder.
找到一个圆柱体的体积乘以the area of one end of the cylinder (base) by its height or:
whereis the radius of the circular end of the cylinder andis the height of the cylinder. So we can write:
The surface area of the cylinder is given by:
whereis the surface area of the cylinder,圆柱体的半径和吗is the height of the cylinder. So we can write:
例子Question #7 :Know And Use The Formulas For The Volumes Of Cones, Cylinders, And Spheres: Ccss.Math.Content.8.G.C.9
The height of a cylinder is two times the length of the radius of the circular end of a cylinder. If the volume of the cylinder is, what is the height of the cylinder?
The volume of a cylinder is:
whereis the radius of the circular end of the cylinder andis the height of the cylinder.
Since, we can substitute that into the volume formula. So we can write:
So we get:
例子Question #8 :Know And Use The Formulas For The Volumes Of Cones, Cylinders, And Spheres: Ccss.Math.Content.8.G.C.9
The end (base) of a cylinder has an area ofsquare inches. If the height of the cylinder is half of the radius of the base of the cylinder, give the volume of the cylinder.
The area of the end (base) of a cylinder is, so we can write:
The height of the cylinder is half of the radius of the base of the cylinder, that means:
找到一个圆柱体的体积乘以the area of one end of the cylinder (base) by its height:
or
例子Question #9 :Know And Use The Formulas For The Volumes Of Cones, Cylinders, And Spheres: Ccss.Math.Content.8.G.C.9
We have two right cylinders. The radius of the base Cylinder 1 istimes more than that of Cylinder 2, and the height of Cylinder 2 is 4 times more than the height of Cylinder 1. The volume of Cylinder 1 is what fraction of the volume of Cylinder 2?
The volume of a cylinder is:
whereis the volume of the cylinder,is the radius of the circular end of the cylinder, andis the height of the cylinder.
So we can write:
and
Now we can summarize the given information:
Now substitute them in the公式:
例子Question #141 :Geometry
Two right cylinders have the same height. The radius of the base of the first cylinder is two times more than that of the second cylinder. Compare the volume of the two cylinders.
The volume of a cylinder is:
whereis the radius of the circular end of the cylinder andis the height of the cylinder. So we can write:
We know that
and
.
So we can write:
例子Question #1 :How To Find The Volume Of A Cylinder
A cylinder has a diameter ofinches and a height ofinches. Find the volume, in cubic inches, of this cylinder.
Since we are given the diameter, divide that value in half to find the radius.
Now plug this value into the equation for the volume of a cylinder.
例子Question #2 :How To Find The Volume Of A Cylinder
Find the volume, in cubic inches, of a cylinder that has a radius ofinches and a height ofinches.
The formula to find the volume of a cylinder is.
Now, plug in the given numbers into this equation.
例子Question #3 :How To Find The Volume Of A Cylinder
Find the volume of the cylinder if the circular base has an area of, and the height of the cylinder is also.
Write the formula for volume of a cylinder.
Remember that area of a circle is
Since the area of the circle is known, substitute the area into the formula.
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