Volume of Prisms
What is the formula for the volume of a rectangular prism?
V=(l)(w)(h)
What is the formula for the volume of a cylinder?
V=(pi)(r)(r)(h)
What is the formula for the volume of a cone?
V=1/3(pi)(r)(r)(h)
What is the formula for the volume of a sphere?
4/3(pi)(r)(r)(r)
Name the common formula component for cylinder, cone, and sphere volumes.
pi
Calculate the volume of a prism with length 5 cm, width 2 cm, and height 10 cm.
100 cubic cm
Calculate the volume of a cylinder with a radius of 3 m and a height of 4 m.
113.04 cubic meters
Calculate the volume of a cone with a radius of 2 cm and a height of 6 cm.
25.12 cubic cm
Calculate the volume of a sphere with a radius of 3 cm.
113.04 cubic cm
Volume comparison: Which has greater volume, a cylinder with height 7 cm and radius 3 cm, or a cone with the same dimensions?
cylinder
If a triangular prism has a base area of 15 cm² and a height of 8 cm, find the volume.
120 cubic cm
If a cylinder's volume is 500π cubic inches and its height is 5 inches, find the radius of its base.
Radius = 10 in
If a cone's volume is 235.5 cubic inches and its radius is 5 inches, find the height.
The height is 9 in
If a sphere has a diameter of 10 cm, what is its volume?
523.333333 cubic cm
Calculate the volume of a sphere embedded exactly inside a cube with with a side length of 4 cm.
33.49 cubic cm
A rectangular prism has a volume of 180 cubic meters. If its height is 3 meters and its width is 5 meters, find its length.
12 cubic meters
A cylinder has a diameter of 10 cm and a height of 12 cm. Calculate its volume.
942 cubic cm
Find the volume of a cone with a diameter of 10 cm and a height of 12 cm.
314 cubic cm
Find the volume of a sphere with a diameter of 8 cm.
267.95 cubic cm
Order the volume of a cylinder, cone, and sphere with diameter and height all 6 cm, from smallest to largest.
Cone, sphere, cylinder
Find the volume of a rectangular prism with fractional dimensions: width 1/2 m, height 3/4 m, and length 2/3 m.
1/4 cubic meters
Determine the volume of a cylinder with a height of 8 cm and a base radius of 1.5 cm.
56.52 cubic cm
Determine the volume of a cone with a base radius of 4 cm and a height of 9 cm.
150.72 cubic cm
What is the volume of a beachball with a radius of 15 cm?
14,130 cubic cm
Change in volume: How does doubling a sphere's radius affect its volume?
It increases by a factor of 8