Volume of Spheres, Cylinders, and Cones Vocabulary

Amelia, Adrien, and Zynnialese are planning a surprise birthday party for their friend Oscar. They want to fill a spherical balloon with helium. Which formula should they use to calculate the volume of the balloon to ensure they have enough helium?

• V = (4/3)πr^3

• V = (1/3)πr^3

• V = 2πr^2

• V = 4πr^2

Amelia, Austin, and Luke are at a pottery class. Their instructor, Eijra, asked them to make a 'cylinder' shaped pot. How would you help them understand what a cylinder is in the context of pottery?

• Tell them it's a four-dimensional shape with one circular base and a curved surface.

• Explain that it's a three-dimensional shape with two parallel circular bases and a curved surface connecting the two bases.

• Describe it as a shape with one circular base and one square base.

• Inform them it's a two-dimensional shape with three parallel circular bases.

Zion, Oscar, and Amelia are part of a school project where they have to build a model of a volcano. They need to calculate the volume of the volcano, which is in the shape of a cone. How should they do it?

• V = (1/3)πr^2h

• V = (2/3)πr^2h

• V = πr^2h

• V = (1/2)πr^2h

Tashara and Charlie are working on a science project where they need to create a model of a cylindrical water tank. Can you help them find the formula for the volume of the cylindrical water tank they are making?

• V = 2πr^2h

• V = πr^2

• V = πr^2h

• V = 2πrh

Oscar, Tashara, and Jazmyn are playing soccer in the park. Abrien kicks the ball towards the goal. Based on this scenario, which description best fits the shape of the soccer ball they are playing with?

• A shape with four equal sides and four right angles

• A shape with a curved surface and a circular base

• A two-dimensional shape with straight edges

• A three-dimensional shape that is perfectly round, with all points on its surface equidistant from the center.

Zion, Adrien, and Peyton are at an ice cream shop. They are observing the ice cream cones while enjoying their ice cream. Which of the following descriptions best matches the characteristics of the ice cream cones they are observing?

• A square base, a flat surface, and multiple vertices, like a box

• An octagonal base, a straight surface, and no vertex, like a cylinder

• A triangular base, a concave surface, and multiple vertices, like a pyramid

• A circular base, a curved surface, and a single vertex or apex, like an ice cream cone

Charlie, Peyton, and Luke are examining a soup can they found in the kitchen. They observe that it's a cylinder. Can you describe the properties of this cylinder?

• The soup can has four parallel circular bases and a square surface.

• The soup can has three parallel circular bases and a flat surface.

• The soup can has two parallel circular bases and a curved surface.

• The soup can has one circular base and a triangular surface.

Amelia and Luke are planning to build a sandcastle in the shape of a cone at the beach during their summer vacation. If the radius of the base of the sandcastle is 3 units and the height is 6 units, what would be the volume of the sandcastle they are planning to build?

• 18π units^3

• 12π units^3

• 9π units^3

• 36π units^3

Adrien, Peyton, and Kennedy are playing with a basketball and a soda can. Adrien says the basketball is like a sphere and the soda can is like a cylinder. Can you help them differentiate between a basketball (sphere) and a soda can (cylinder) in terms of shape and volume?

• A basketball (sphere) is round in shape, while a soda can (cylinder) has circular bases and a curved surface.

• A basketball (sphere) is square in shape, while a soda can (cylinder) has triangular bases and a flat surface.

• A basketball (sphere) is flat in shape, while a soda can (cylinder) has rectangular bases and a curved surface.

• A basketball (sphere) is cylindrical in shape, while a soda can (cylinder) has a round base and a flat surface.

Kennedy has a birthday cake that is shaped like a certain object. This object is called a

• Right Circular Cylinder

• Right Circular Cone

• Right Circular Can

• Vase