Cylinders & Cones
A cylinder has a height of 25 ft and a volume of 400 ft3. What is its radius?
about 2.26 ft
What is the volume of a sphere with a diameter of 6 cm?
113.04 cm3
When calculating the volume of the dog bowl, what value is used for π?
3.14
If a cylinder and a rectangular prism have the same height and width, which has more volume?
Rectangular Prism
A stack of 100 coins is being wrapped. Each coin is 1/8 inch thick. How tall is the stack?
12.5 in
What is the approximate volume of a cone with a 3 cm radius and a 14 cm height?
132cm3
If a sphere and a cone have the same height and base, which one is typically larger?
Sphere
What is the fraction equivalent of π suggested for the cone problem?
22/7
If a cylinder's radius increases but the volume stays the same, what happens to the height?
Height Decreases
How many cubic inches of water can Rover's dog bowl hold if it is 6 in wide and 2 in deep?
57in3
A cylinder has a diameter of 4 cm and a height of 9 cm. What is its volume?
113.04cm3
What is the volume of a sphere if it has the same height and diameter as a cone with a volume of 113.04 mm3?
226.08mm3
To find the capacity of a cone in ounces, you must divide the cubic inches by what number?
1.8
Why does a rectangular prism have a greater volume than a cylinder with the same dimensions?
extra space in corners
Why does a rectangular prism have a greater volume than a cylinder with the same dimensions?
23cm3
A cone-shaped cup is 3.3 inches tall with a diameter of 2.7 inches. What is its volume?
about 6.3in3
How does the volume of a sphere change if you were to double its radius?
Increases by 8x
If the diameter of a cylinder is 1 inch, what is the radius used in the area formula?
0.5in
If the radius of a cylinder decreases, how must the height change to keep the volume constant?
Height increases
How many square inches of paper are needed to wrap a 12.5-inch tall stack of 1-inch diameter coins?
about 40.8in2
What is the ratio of the volume of a cone to a cylinder if they share the same height and radius?
1:3 (1/3)
If a spherical ornament fits perfectly inside a cube, what percentage of the cube's volume is "extra space"?
about 47.6%
Express the volume of a 13 cm long laser pointer with a 0.75 cm radius strictly in terms of π.
7.3125pi cm3
If you triple the height of a cylinder but halve the radius, does the volume increase or decrease?
Decreases (to 3/4 original)
What is the capacity, in fluid ounces, of a cone with a height of 3.3 in and a diameter of 2.7 in?
about 3.5 fl oz