Cylinders
What is the formula for the volume of a cylinder?
V=pi(r2)h
What is the formula for the volume of a cone?
V=1/3(pi)(r2)h
What is the formula for the volume of a sphere?
V=4/3(pi)r3
A cylinder has a volume of 50 cm³ and a radius of 2 cm. What is the height to the nearest whole number?
4 cm
How do you find the volume of a composite solid?
Find the volumes of individual figures that make up the solid. Then add them together
A cylinder has a radius of 3 cm and a height of 5 cm. What is its volume to the nearest tenth?
141.4 cm3
Find the volume of a cone with a radius of 2 cm and a height of 6 cm. Express the answer in terms of pi
8pi cm3
Find the volume of a sphere with a radius of 6 cm to the nearest tenth.
904.8 cm3
The volume of a cone is 20 cm³. If the height is 5 cm, what is the radius?
1.95 cm
Calculate the volume of a composite solid made of a cylinder (radius 2 cm, height 5 cm) and a cone (radius 2 cm, height 3 cm). Express your answer in terms of pi
24 cm3
Calculate the volume of a cylinder in terms of pi with a diameter of 4 m and a height of 7 m.
28pi m3
Calculate the volume of a cone with a diameter of 10 m and a height of 12 m to the nearest tenth.
314.2 m3
Calculate the volume of a hemisphere with a diameter of 10 m. Express your answer in terms of pi
(250/3)pi m3 OR 83.3pi m3
A sphere has a volume of 33.51 cm³. What is the radius?
2 cm
If a composite solid has a cylinder of height 8 cm and radius 3 cm, and a cone of height 4 cm and radius 3 cm, what is the total volume? Express your answer in terms of pi
84pi cm3
Compare the volumes of two cylinders: Cylinder A with a radius of 4 cm and height of 10 cm, and another with a radius of 5 cm and height of 8 cm. Which cylinder has a greater volume and by how much? Express all answers in terms of pi
40pi cm3
A cone with a radius of 6 ft and a height of 13 feet is set inside a cylinder with the same dimensions. How much empty space is inside the cylinder? Round to the nearest tenth
980.2 ft3
A sphere with a diameter of 8 inches is placed inside a container that is shaped like a cylinder. The container has a 15 inch diameter and a height of 10 inches. If the container was half-full of water, would the water be running over after the sphere was placed into it?
No
If a cylinder has a height of 10 ft and a volume of 200 ft³, what is the radius to the nearest tenth?
2.5 ft
A composite solid consists of a sphere (diameter 8 cm) and a cylinder (height 10 cm, radius 4 cm). What is the total volume to the nearest tenth?
770.7 cm3