Week 16 Test

Front

What is the formula for the volume of a cone?

Back

The volume V of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a cylinder?

Back

The volume V of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

Front

How do you convert diameter to radius?

Back

The radius r is half of the diameter d. Therefore, r = d/2.

Front

What is the volume of a cone with a radius of 2 inches and a height of 10 inches?

Back

Using the formula V = (1/3)π(2)²(10), the volume is approximately 41.9 cubic inches.

Front

What is the volume of a cylinder with a diameter of 12 inches and a height of 15 inches?

Back

First, find the radius: r = 12/2 = 6 inches. Then, V = π(6)²(15) = approximately 1,696.5 cubic inches.

Front

What is the relationship between the volumes of two cylinders with the same height but different radii?

Back

The volume of a cylinder increases with the square of the radius. Therefore, a cylinder with a larger radius will have a greater volume.

Front

What is the unit of volume in the metric system?

Back

The unit of volume in the metric system is cubic meters (m³). Other common units include liters (L) and milliliters (mL).

Front

What does it mean for a shape to have volume?

Back

A shape has volume if it occupies space in three dimensions, measured in cubic units.

Front

What is the volume of a solid figure that measures 2m x 3m x 4m?

Back

The volume is calculated as V = length × width × height = 2m × 3m × 4m = 24m³.

Front

What is the significance of π in volume calculations?

Back

π (pi) is a mathematical constant approximately equal to 3.14, used in calculations involving circles and cylindrical shapes.