Formulas
Shapes
Cone/Cylinder Problems
Parts to Solve Volume Problems
Sphere/Hemisphere Problem
100
What is the formula of a cylinder?
Pi x r x r x h
100
What is half of sphere called?
A Hemisphere
100
A cone has a height of 4ft. The radius of the base is 5ft. What is the approximate volume of the cone?
104.7ft^3
100
What is a segment from the center of the circle to any point on the circle called?
A radius
100
Find the volume of a sphere with a radius of 7mm. Round to the nearest tenth.
1,436.8 mm^3
200
What is the formula for a cone?
1/3 x pi x r x r x h
200
What is a three dimensional object with two parallel, congruent, circular bases called?
A cylinder
200
Find the volume of a cylinder with a radius of 3cm and a height of 6cm. Round to the nearest whole number.
170cm^3
200
What is the distance across a circle through the center called? This line segment includes the center and whose endpoints lie on the circle.
A diameter
200
Find the volume of a sphere that has a diameter of 26in. Round to the nearest tenth.
9,202.8in^3
300
What is the formula for a sphere?
4/3 x pi x r x r x r
300
What is a three dimensional figure with a circular base or elliptical base and one vertex called?
A cone
300
A mug is shaped like a cylinder. Find the volume of the mug to the nearest cubic centimeter. The diameter is 14cm and the height is 11cm.
1693.3cm^3
300
For two dimensional figures, any side can be a base. Typically, however, what is the bottom side on which a polygon sits called?
Base of a Polygon
300
Find the volume of a hemisphere with a radius of 2mm. Round to the nearest tenth.
16.8mm^3
400
What is the formula for a hemisphere?
1/2 (4/3 x pi x r x r x r)
400
What is the set of all points in space that are equidistant from a fixed point, called the center called?
A sphere
400
The grain silo is composed of a cylinder and a cone. Find the volume of the silo to the nearest cubic foot. Cone: The height is 8ft and the diameter is 10ft. Cylinder: The height is 27ft and the diameter is 10ft.
2,330.0ft^3
400
What is the vertical height (or altitude) which is the perpendicular distance from the top down to the base called?
Height of a Solid
400
The radius of a baseball is 2.3in. What is the volume of the baseball? Round to the nearest tenth.
51.0in^3
500
How do you find the volume of a composite solid that is made up of a cylinder and a hemisphere?
(pi x r x r x h) + [1/2(4/3 x pi x r x r x r)]
500
A solid composed of two or more solids is called what?
A composite solid
500
The diameter of a cone-shaped paper cup is 6cm, and the height is 12cm. The radius of another cone-shaped paper cup is 4cm, and the height is 17cm. Find the volume of each paper cup to the nearest tenth of a cubic centimeter. Which cu holds more water?
Paper cup #1- 113.1cm^3 Paper Cup #2- 284.8cm^3 Paper cup #2 will hold more water.
500
What is the collective term of all bonded three dimensional geometric figures?
Geometric solid
500
A dish contains a spherical scoop of strawberry ice cream with a radius of 1.8in? Whats is the volume of the ice cream? Round to the nearest tenth.
24.4in^3
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