Cones
What is the definition of a Cone?
A cone is a three-deminsional figure with a circular base and one vertex.
What is the definition of a Cylinder?
A cylinder is a three-dimensional object with two parallel, congruent, and circular bases.
What is the definition of a Sphere?
A sphere is defined as the set up of all points in three-dimensions that are equidistant from a given point called the center. (We commonly refer to it as a "ball")
What is the definition of Volume?
The amount of cubic units needed to "fill up" a three dimensional figure.
What is the Pythagorean Theorem?
a2 + b2 = c2
What is the formula used to calculate volume for a cone?
V= (1/3)(3.14)(r2)(h)
What is the formula used to calculate volume for a cylinder?
V = (3.14)(r2)(h)
What is the formula used to calculate volume for a sphere?
V = (4/3)(3.14)(r3)
How much ice cream is in one spherical scoop that has a diameter of 3 inches?
14.3 cubic inches
In a right triangle, what is the longest side called?
the hypotenuse
Find the volume of a cone, where the radius is 20 feet and the height is 60 feet.
25120 cubic feet
What is the volume of a cylinder with a radius of 4 inches and a height of 10 inches?
502.4 cubic inches
What is the volume of a sphere with a 3 yard radius?
113.04 cubic yards
An art sculpture is composed of a hemisphere on top of a cylinder. The cylinder has a height of 3 feet and a diameter of 2 foot. How many cubic feet of concrete are needed to make the sculpture? Round your answer to the nearest tenth.
2.6 cubic feet
Given a right triangle with legs that measure 15 cm and 36 cm, what is the length of the hypotenuse?
39 cm
What is the volume of a cone with a 6 millimeter diameter and a 5 millimeter height?
47.1 cubic millimeters
Find the volume of a cylinder with the height of 6 inches and the diameter of 6 inches.
169.56 cubic inches
What is the volume of a sphere with a 3 foot diameter?
V= 14.13 cubic feet
What is the total volume of a six-pack of cans if each can is 5 inches tall and 3 inches wide?
about 211.95 cubic inches
Given a right triangle with a leg of 18 in and a hypotenuse of 30 in, what is the length of the missing leg?
24 in
Find the radius of a cone with a volume of 477 mm3 and a height of 28.5 mm.
about 4 millimeters
Find the height of a cylinder with the diameter of 4 inches and the volume of 44 cubic inches.
about 3.5 inches
What is the radius of a sphere with the volume of 48 cubic meters? Round to the nearest hundredth.
about 2.25 meters
What is the volume of a kickball that is 11 inches in diameter? Round to the nearest hundredth
about 696.56 cubic inches
A rectangular garden has a path across the middle connecting diagonal. If the diagonal path is 30 ft and one side of the garden is 20 ft, what is the perimeter of the garden?
about 85 ft