Prisms and Cylinders
What is the volume formula of a cube?
(Area of Base)(Height)
What is the volume formula for a pyramid
1/3(Area of Base)(Height)
What is the surface area of a sphere
4pi(radius)2
What relationship does the scale factor have to the surface area
the scale factor is squared
When a right triangle is rotated around an axis, what three dimensional figure is formed?
a cone
What is the volume of a cylinder?
(pi)(radius2)(height)
What is the volume of a cone
1/3(pi)(radius2)(height)
What is the difference between the surface area formula and the volume formula
-surface area is multiplied by 4 and volume is multiplied by 4/3
-surface area is radius2 and volume is radius3
What relationship does the height have to the volume of a figure
the height would be cubed
What is the surface area formula for a hemisphere
3pi(radius)2
Find the volume of a cube with a base edge of 5 inches
125 cubic inches
Find the volume of a cone with a radius of 1 cm and a height of 34 cm
3.6 cubic centimeters
Find the volume of a sphere which has a great circle area of 55pi square inches
1708.6 cubic inches
Two similar cylinders have heights of 75 cm and 25 cm. What is the ratio of the volume of the large cylinder to the volume of the small cylinder
27:1
A rectangular garden with length of 50 feet and width of 75 feet has 480 corn stalks. Find the population density of corn stalks to the nearest hundredth.
.13 stalks per square foot
Find the volume of a right cylinder with a radius of 5 meters and a height of 22 meters
550pi or 1727.9 cubic meters
The Great Pyramid measures 756 feet on each side of the base and a height of 481 feet. What is the volume of the pyramid
91.6 cubic feet
Find the volume of a hemisphere which contains a great circle circumference of 24pi meters
3619.1 cubic meters
The volume of a cylinder A is 81pi cubic inches while the volume of cylinder B is 24pi cubic inches. If the height of cylinder B is 6, what is the height of cylinder A
9 inches
A triangular field with base length of 20 feet and height of 35 feet has 230 trees. Find the population density of trees to the nearest hundredth.
.66 trees per square foot