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 are the two shorter sides of the triangle called?
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)
The operation we used to "get rid" of something squared.
What is square root?
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 approximate volume of a cylinder with a radius of 3 inches and a height of 7 inches?
197.9 in.³
What is the volume of a sphere with a 3 yard radius?
113.04 cubic yards
Construction workers are building a ramp. The ramp is 9 feet high and 12 feet long. This is the length of the slanted part of the ramp.
What is 15 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 radius of 3 inches.
169.56 cubic inches
What is the volume of a sphere with a 3 foot diameter?
V= 14.13 cubic feet
Roofers need to know how long of a ladder they need. The roof is 16 feet high and the bottom of the ladder will be placed 12 feet from the building. What is the length of the ladder?
20 feet
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
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
What is the volume of a kickball that is 11 inches in diameter? Round to the nearest hundredth
about 696.56 cubic inches
When one leg=21 and the hypotenuse=35 then the other leg=?
What is 28?
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