Cylinders
Cones
Spheres
Density
Cross Sections
100
Calculate the volume of the cylinder.
75.36 ft3
100
You have a cone with a radius of 6 cm and a height of 11 cm. What is the volume?
414.48 cm3
100
A sphere has a radius of 7 inches. What is the volume?
1,436.03 in3
100
If the mass of an object is 24 lb and the volume is 33 m3, what is the density of the object?
0.73 lb/m3
100
If you cut a sphere in half, what is the shape of the cross-section?
a circle
200
A cylinder with a diameter of 12 cm and a height of 3 cm. What is the volume?
339.12 cm3
200
Calculate the volume of the popcorn cone.
715.92 cm3
200
Calculate the volume of the sphere. Round to the hundredths place.
267.95 mm3
200
What is the formula for density?
D = M/V
200
If you cut a cone perpendicular to its base, what is the shape of the cross section?
a triangle
300
If a cylinder that is standing up is cut in half, what is the shape of the cross section?
Circle
300
If a cone that is upright is cut vertically in half, what is the shape of the cross section?
Triangle
300
The top of the water tower in Garland, Alaska is a hemisphere that measures 537 ft across. How much water can the top of the water tower hold?
40,520,170.04 ft3
300
The density of pure gold is 19.32 grams per cubic centimeter. The volume of a gold bar is 44 cm3. What is the mass of the gold bar?
850.08 grams
300
If a cylinder intersects a plane that is parallel to its base, what must be true about the cross section?
A. the cross section is a rectangle.
B. the cross section is a circle.
C. the cross section is similar to the base.
D. there is no relation between the base and the cross section.
B
400
You have a cylinder with a volume of 461.8 cm3 and a radius of 7 cm. What is the height?
3 cm
400
You have a cone with a radius of 4 m and a volume of 184.3 m3. What is the height?
11 m
400
You have a sphere with a volume of 1,436.8 m3. What is the radius?
7 m
400
The mass of a sphere with a radius of 0.75 ft is 112.5 lbs. What is the density of the sphere?
63.66 lbs/ft3 (this is about the density of concrete)
400
If you cut a cone parallel to its base, what is the shape of the cross-section?
a circle
*BONUS 100 points: Is the circle congruent or similar to the base?
500
You have a cylinder with a height of 3 cm and a volume of 603.2 cm3. What is the radius?
8 cm
500
You have a cone with a height of 10 cm and a volume of 41.9 cm3. What is the radius?
2 cm
500
What might you consider the "height" of a sphere?
The height of a sphere is called the diameter.
500
If the mass of a cylinder (with a radius of 0.5 cm and a height of 4 cm) is 12 grams, what is the density?
3.82 g/cm3
500
If you cut a cylinder with a height of 4 cm and a radius of 2 cm perpendicular to the base, what is the specific name of the cross-section?
a square