Formulas
The formula for the volume of a cone.
V=1/3πr^2 h
If the diameter of a sphere is 18 cm, what is its radius?
9cm
What is the volume of a cone with a height of 8 in and a radius of 2 in
33. 51 in
How many square faces does a standard cube have to calculate for its total surface area?
6
What is the only 3-D figure that has no vertices or points?
A) Cylinder
B) Pyramid
C) Sphere
D) Cube
C) Sphere
The formula used to find the volume of a cylinder.
V =πr^2 h
If a cylinder has a diameter of 435mm, what is the radius?
217.5mm
If a cylinder has a radius of 22.5 inches, and a height of 3.2 inches, what is the volume of the cylinder? (round to nearest hundredth)
5,089.38 inches cubed
What is the surface of a sphere if the radius is 4.2 cm? (round to nearest hundredth if necessary)
310.34 cm squared
What volume formula is this: 1/3πrh
A) Cone
B) Surface Area of a Sphere
C) Triangular Prism
D) Rectangular prism
A) Cone
This is the formula for the volume of a sphere.
V=4/3πr^3
The base of a cone has an area of 49π. What is the radius?
7
A rectangular prism has a length of 5, width of 3, and height of 10. What is the volume?
150 cubic units.
A cube has a side length of 4. What is its total surface area?
96
Which of these shapes has the most vertices?
A) Triangular Pyramid
B) Cube
C) Triangular Prism
D) Square Pyramid
B) Cube
To find the volume of a cone, you take the volume of a cylinder with the same base and height and multiply it by this fraction.
1/3
The volume of a cylinder is 100π and its height is 4. Solve for the radius.
5
Find the volume of a cone with a radius of 3 and a height of 7. (leave in terms of pi)
21π
Find the surface area of a rectangular prism with sides 2, 3, and 4.
52
If you have a cylinder and a cone with the same radius and the same height, which statement is true?
A) Their volumes are equal.
B) The cylinder’s volume is exactly double the cone’s volume.
C) The cylinder’s volume is exactly three times the cone’s volume.
D) The cone’s volume is half of the cylinder’s volume.
C) The cylinder’s volume is exactly three times the cone’s volume.
The formula for the surface area of a sphere.
SA= 4πr^2
The surface area of a sphere is exactly 144π square units. What is the radius of the sphere?
6
A sphere has a radius of 3. What is its volume? (leave in terms of pi)
36π
A cylinder has a radius of 2 and a height of 5. What is its total surface area? (leave in terms of pi)
28π
Which of the following changes would result in the largest increase in the volume of a cylinder?
A) Doubling the height
B) Doubling the radius
C) Tripling the height
D) Adding 5 units to both the radius and the height.
B) Doubling the radius