Formulas
Cylinders
Cones
Spheres
Pythagorean Theorem
100
To finding the amount of space a cylinder can hold, what is the formula?
V = pir^2h
100
The volume of the Cylinder.
Use pi, round to nearest tenth.
603.2 ft3
100
The volume of the cone. To nearest tenth. Use pi.
12.6 ft3
100
Find the volume, to nearest tenth, of a sphere with a diameter of 10 ft. Give answer to the nearest tenth.
Use 3.14 for pi.
523.3 ft3
100
In the Pythagorean Theorem A2 + B2 = C2 , what are A and B called?
Legs
200
To finding the amount of space a cone can hold, what is the formula?
V = 1/3pir^2h
200
The volume of the Cylinder.
Use pi, round to nearest tenth.
942.5 in3
200
Volume of the cone. Round to the nearest tenth
942.5 cm3
200
Find the volume round to nearest tenth, of a circle with a diameter of 7 cm. Give answer to the nearest tenth.
Use 3.14 for pi.
179.5 cm3
200
In the Pythagorean Theorem A2 + B2 = C2 , what are "C" called?
Hypotenuse
300
The volume formula for a sphere is what?
V = 4/3pir^3
300
Cylinder with a radius of 4 km and a height of 5 km.
Use 3.14 as pi.
251.2 km3
300
Volume of a traffic cone, in cubic inches, with height of 24 inches and diameter of 10 inches.
Use 3.14 for pi.
628 in3
300
Find the volume of the sphere. Round to nearest tenth.
Use 3.14 for pi.
d = 36 m
24,416.6 m3
300
A triangle has side lengths of 8, 18, and 16. Is this a right triangle? (MUST SHOW WORK/EXPLAIN FOR CREDIT)
NO
82 + 162 = 320 182 = 324
400
How to determine if the line on a GRAPH is a function or not.
Verticle line test
400
A pan for baking French bread is shaped like half a cylinder. It is 12 inches long and 3.5 inches in diameter. What is the volume of the half cylinder?
Use 3.14 as pi.
Round to nearest inch.
58 in3
400
If a cone has a volume of 348in3, what would be the volume of a sphere with the same radius?
696in3
400
Find the total volume of the composite figure.
Round to the nearest tenth.
8,983.5 cm^3
400
Brayden was shooting a basketball and wanted to know how tall the goal was. He is 5 ft. from the goal and the distance to shoot to the rim is 13 ft. How tall is the goal?
A2 + B2 = C2
52 + B2 = 132
25+ B2 = 169
B2 = 144
Square root of 144 = 12 B= 12ft
500
Finding whether a triangle is a right triangle or not.
A2 + B2 =C2
500
A solid cylinder has a cylindrical center remove. What is the volume of the remaining solid? Round to the nearest tenth.
527.5 m^3
500
If a cylinder has a volume of
96.39 ft^3
, what would the volume of a cone have with the same height and radius?
32.13 ft^3
500
Will water from a water balloon spherically shaped with a radius of 3 cm fit into a cylinder with a radius of 3 and height of 3.9 cm without spilling? Use 3.14 and give the volume of both the sphere and cylinder.
The volume of sphere is approximately 113 cm3
The volume of cylinder is approximately 110 cm3
No, the water will not fit.
500
Find the hypotenuse of a triangle who's leg lengths are 9, and 12.
A2 + B2 = C2
92 + 122 = C2
81+ 144 = C2
225 = C2
Square root of 225 = 15 C= 15