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Cylinders
Cone
Spheres
Formulas
Explain
100
The cylindrical Giant Ocean Tank at the New England Aquarium in Boston is 24 feet deep and has a radius of 18.8 feet. Find the volume of the tank.
What is 26,635.2 ft3?
100
A cone has a diameter of 4 cm and a height of 11 cm. What is the volume of the cone to the nearest tenth? Use 3.14 for π.
What is 46.1 cm3?
100
Mike makes homemade apple lollipops. Each sphere-shaped lollipop has a diameter of 2 in. What is the volume of the lollipop to the nearest tenth? Use 3.14 for π.
What is V ≈ 4.2 in3?
100
V=Bh
What is a Rectangular Prism?
100
You need to know the height and know or be able to calculate the radius of the base. Then you can substitute into the volume formula V = πr2h.
How do you find the volume of a cylinder?
200
A cylindrical carton of oatmeal has a diameter of 13 cm and is 24 cm tall. Find the volume.
What is 3184.0 cm3?
200
A cloth pastry bag is shaped like a cone. It has a radius of 1.5 inches and a height of 8.5 inches. What is the volume of the pastry bag to the nearest tenth? Use 3.14 for π.
What is 20 in.3?
200
Jen has a silver charm on her bracelet in the shape of a soccer ball with a radius of 1 centimeter. What is the volume of this charm?
What is 4.2 cm3?
200
V=1/3 Bh
What is a cone?
200
Hummingbirds lay eggs that are nearly spherical and about 1 centimeter in diameter. Find the volume of an egg. Round your answer to the nearest tenth.
What is 0.5 cm3?
300
Which has a greater volume? Cylinder A: r = 3 m, h = 1.2 m Cylinder B: d = 4 m, h = 2.5 m
What is Cylinder A?
300
A volcanic cone has a diameter of 300 meters and a height of 150 meters. What is the volume of the cone?
What is 3,532,500 m3?
300
Find the volume of a sphere with a diameter of 8.2 meters.
What is 288.5 m3?
300
v=1/2 Bh
What is a triangular prism?
300
A cone has a radius of 1 foot and a height of 2 feet. How many cones of liquid would it take to fill a cylinder with a diameter of 2 feet and a height of 2 feet? Explain.
Since the radius and height of the cones and cylinder are the same, it will take 3 cones to equal the volume of the cylinder.
400
A can of beans is 4.5 inches high and has a diameter of 3 inches Find the volume of the can to the nearest tenth of a unit. Use 3.14 for π. in3
What is 31.8?
400
Double-----Antonio is making mini waffle cones. Each waffle cone is 3 inches high and has a radius of 3/4 inch. What is the volume of a waffle cone?
What is 1.8 in3?
400
A ball has a circumference of 37.68 inches. What is the volume of the ball? Hint: c=2(pie)r
What is 904.3 in3?
400
Volume of a Sphere
What is v=4/3 pie r cubed?
400
Daren uses rice to fill a cylindrical glass measuring 6 inches high with a radius of 2.5 inches. He pours this rice into a cardboard cylinder that is 3.5 inches high with a diameter of 8 inches. Will he have enough rice to fill the cardboard cylinder? Explain.
The glass has a volume of 117.75 in3. The cardboard cylinder has a volume of 175.84 in3. He will not have enough rice to fill the cardboard cylinder, since 117.75 in3 is less than 175.84 in3.
500
A telephone pole is 30 feet tall with a diameter of 12 inches. Jacob is making a replica of a telephone pole and wants to fill it with sand to help it stand freely. Find the volume of his model, which has a height of 30 inches and a diameter of 1 inch, to the nearest tenth of a unit. Use 3.14 for π. in3
What is 23.6 in3?
500
A large traffic cone stands 28 inches in height and has a volume of 732.7 cubic inches. What is the diameter of the base of the cone? Use 3.14 for π.
What is 2. 732.7 = (3.14)(r2)(28) 732.7 = 29.3r2 25 = r2 5 = r d = 2r = 2(5) = 10 in.
500
Which would hold the most water: a bowl in the shape of a hemisphere with radius r, a cylindrical glass with radius r and height r, or a cone-shaped drinking cup with radius r and height r? Explain.
The cylindrical glass; the cylinder has a volume of πr3, while the hemisphere’s volume is _2πr3, and the cone’s volume is _1πr3.
500
Cylinder
What is v=Bh?
500
A cylindrical can of tennis balls holds a stack of three balls so that they touch the can at the top, bottom, and sides. The radius of each ball is 1.25 inches. Find the volume inside the can that is not taken up by the three tennis balls.
What is 12.3 in3?