Cylinder Volume
Cone Volume
Sphere Volume
Mixed Questions
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100
What is the volume of a cylinder radius = 3 inches height = 7 inches
197.82 in³
100
What is the volume of the cone radius = 9 height = 6
508.68 units³
100
Find the volume of the sphere radius = 9
3052.08 units³
100
What is the definition of "Volume"
The amount of space something takes up
100
Define the Pythagorean Theorem and what it is used for.
a^2 + b^2 = c^2 Used for right triangles, find the distance between points.
200
What is the volume of the cylinder radius = 2 feet height = 10 feet
125.6 ft³
200
What is the volume of the cone? radius = 2 mm height = 60 mm
251.2 mm³
200
Find the volume of the sphere radius = 3
113.04 units³
200
When calculating volume, what does the "r" stand for?
radius
200
Name the four types of transformations and their definitions.
Translation (slide), Reflection (flip), Rotation (spin/turn), Dilation (enlargement/reduction)
300
What is the volume of a pipe that is 8 cm across and 12 cm tall?
602.88 cm³
300
A snow cone is 18 cm across and 9 cm tall. What is the volume of the snow cone?
763.02 cm³
300
A tennis ball measuring 5 inches across has what volume?
65.312 inches³
300
If given the diameter of a circle, how do you find the radius?
Take half the diameter Multiply the diameter by 1/2 Divide the diameter by 2
300
Give the slope formula and the slope-intercept form of a line.
y2-y1/x2-x1 y=mx+b
400
What is the volume of a bean can that is 6 meters across and 10 meters high?
282.6 m³
400
A funnel is 12 inches across and 18 inches tall. What is the volume of the funnel?
678.24 in³
400
An exercise ball measuring 3.2 feet across has what volume of air?
17.27 ft³
400
Give the equation for finding the volume of a sphere
4/3 * π * r³
400
What are the definitions of rational and irrational numbers? Give an example of each type.
Rational can be written as a fraction, irrational cannot.
500
A cup that is 4 inches across and 8 inches tall is filled halfway full with water. What is the volume of the water?
50.24 in³
500
An ice cream cone is 8 cm across and 14 cm tall. It was left in the sun, and 1/3 of the ice cream melted. What volume of ice cream is left?
78.186 cm³
500
A basketball measuring 12 inches across is cut in half. What is the volume?
452.16 in³
500
Give the relationship between the formulas for volume of cones and cylinders.
V=π r^2 h V=1/3 π r^2 h Cylinder is 3 times volume of cone Cone is 1/3 volume of cylinder
500
Define and explain quotient rule, product rule, and power rule.
All must have same base Q: Subtract exponents PR: Add exponents PO: Multiply exponents
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Volume of Cylinders, Cones, and Spheres
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