Volume: Cylinders, Cones, & Spheres flashcard

Front

What is the volume of a cylinder?

Back

The volume of a cylinder is calculated using the formula: V = πr²h, where r is the radius and h is the height.

Front

What is the volume of a cone?

Back

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

Front

What is the volume of a sphere?

Back

The volume of a sphere is calculated using the formula: V = (4/3)πr³, where r is the radius.

Front

Which unit is NOT appropriate for measuring volume?

Back

Square miles is NOT appropriate for measuring volume; it measures area.

Front

What does π (pi) represent in volume formulas?

Back

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

Front

What shape has a circular base and a pointed top?

Back

A cone has a circular base and a pointed top.

Front

How do you find the radius of a cylinder if you know its volume and height?

Back

Rearrange the formula V = πr²h to find r: r = √(V/(πh)).

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter is twice the radius: d = 2r.

Front

What is the formula for the volume of a cylinder with a radius of 3 cm and height of 5 cm?

Back

V = π(3 cm)²(5 cm) = 45π cm³.

Front

What is the formula for the volume of a cone with a radius of 4 cm and height of 6 cm?

Back

V = (1/3)π(4 cm)²(6 cm) = 32π cm³.